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1320425760 = 25352779931
BaseRepresentation
bin100111010110100…
…0001100100100000
310102000121120121210
41032231001210200
510201012111020
6335005150120
744502301533
oct11655014440
93360546553
101320425760
11618389465
1230a25b340
1318073a124
14c751aa1a
157adc73e0
hex4eb41920

1320425760 has 96 divisors (see below), whose sum is σ = 4174777152. Its totient is φ = 350807040.

The previous prime is 1320425759. The next prime is 1320425761. The reversal of 1320425760 is 675240231.

It is an interprime number because it is at equal distance from previous prime (1320425759) and next prime (1320425761).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1320425761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127995 + ... + 137925.

It is an arithmetic number, because the mean of its divisors is an integer number (43487262).

Almost surely, 21320425760 is an apocalyptic number.

1320425760 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 1320425760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087388576).

1320425760 is an abundant number, since it is smaller than the sum of its proper divisors (2854351392).

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

1320425760 is a wasteful number, since it uses less digits than its factorization.

1320425760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10226 (or 10218 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1320425760 is about 36337.6631059291. The cubic root of 1320425760 is about 1097.0792377700.

Adding to 1320425760 its reverse (675240231), we get a palindrome (1995665991).

The spelling of 1320425760 in words is "one billion, three hundred twenty million, four hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 277 480 554 831 1108 1385 1662 2216 2770 3324 4155 4432 5540 6648 8310 8864 9931 11080 13296 16620 19862 22160 26592 29793 33240 39724 44320 49655 59586 66480 79448 99310 119172 132960 148965 158896 198620 238344 297930 317792 397240 476688 595860 794480 953376 1191720 1588960 2383440 2750887 4766880 5501774 8252661 11003548 13754435 16505322 22007096 27508870 33010644 41263305 44014192 55017740 66021288 82526610 88028384 110035480 132042576 165053220 220070960 264085152 330106440 440141920 660212880 1320425760