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1320242688 = 29322312457
BaseRepresentation
bin100111010110001…
…0100111000000000
310102000021021111100
41032230110320000
510200440231223
6335001214400
744500610022
oct11654247000
93360237440
101320242688
11618273966
1230a191400
131806a49bb
14c74b0012
157ad8d043
hex4eb14e00

1320242688 has 120 divisors (see below), whose sum is σ = 3976294608. Its totient is φ = 420913152.

The previous prime is 1320242659. The next prime is 1320242713. The reversal of 1320242688 is 8862420231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99756 + ... + 112212.

Almost surely, 21320242688 is an apocalyptic number.

1320242688 is a gapful number since it is divisible by the number (18) 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 1320242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988147304).

1320242688 is an abundant number, since it is smaller than the sum of its proper divisors (2656051920).

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

1320242688 is a wasteful number, since it uses less digits than its factorization.

1320242688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12504 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1320242688 is about 36335.1439793487. The cubic root of 1320242688 is about 1097.0285334746.

The spelling of 1320242688 in words is "one billion, three hundred twenty million, two hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1104 1152 1472 1536 1656 2208 2304 2944 3312 4416 4608 5888 6624 8832 11776 12457 13248 17664 24914 26496 35328 37371 49828 52992 74742 99656 105984 112113 149484 199312 224226 286511 298968 398624 448452 573022 597936 797248 859533 896904 1146044 1195872 1594496 1719066 1793808 2292088 2391744 2578599 3188992 3438132 3587616 4584176 4783488 5157198 6377984 6876264 7175232 9168352 9566976 10314396 13752528 14350464 18336704 19133952 20628792 27505056 28700928 36673408 41257584 55010112 57401856 73346816 82515168 110020224 146693632 165030336 220040448 330060672 440080896 660121344 1320242688