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1320000132960 = 253251151796409
BaseRepresentation
bin10011001101010110001…
…000111001011101100000
311200012011002010110212100
4103031112020321131200
5133111330013223320
62450222155530400
7164236556001045
oct23152610713540
94605132113770
101320000132960
114698997320a3
121939a9459a00
139762481a742
1447c618a71cc
1524509bba790
hex13356239760

1320000132960 has 144 divisors (see below), whose sum is σ = 4508419668480. Its totient is φ = 351693772800.

The previous prime is 1320000132943. The next prime is 1320000132977. The reversal of 1320000132960 is 692310000231.

It is an interprime number because it is at equal distance from previous prime (1320000132943) and next prime (1320000132977).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1259236 + ... + 2055644.

It is an arithmetic number, because the mean of its divisors is an integer number (31308469920).

Almost surely, 21320000132960 is an apocalyptic number.

1320000132960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320000132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254209834240).

1320000132960 is an abundant number, since it is smaller than the sum of its proper divisors (3188419535520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1320000132960 is a wasteful number, since it uses less digits than its factorization.

1320000132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797581 (or 797570 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 1320000132960 in words is "one trillion, three hundred twenty billion, one hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1151 1440 2302 3453 4604 5755 6906 9208 10359 11510 13812 17265 18416 20718 23020 27624 34530 36832 41436 46040 51795 55248 69060 82872 92080 103590 110496 138120 165744 184160 207180 276240 331488 414360 552480 796409 828720 1592818 1657440 2389227 3185636 3982045 4778454 6371272 7167681 7964090 9556908 11946135 12742544 14335362 15928180 19113816 23892270 25485088 28670724 31856360 35838405 38227632 47784540 57341448 63712720 71676810 76455264 95569080 114682896 127425440 143353620 191138160 229365792 286707240 382276320 573414480 916666759 1146828960 1833333518 2750000277 3666667036 4583333795 5500000554 7333334072 8250000831 9166667590 11000001108 13750001385 14666668144 16500001662 18333335180 22000002216 27500002770 29333336288 33000003324 36666670360 41250004155 44000004432 55000005540 66000006648 73333340720 82500008310 88000008864 110000011080 132000013296 146666681440 165000016620 220000022160 264000026592 330000033240 440000044320 660000066480 1320000132960