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3962136320 = 2857342403
BaseRepresentation
bin1110110000101001…
…0110011100000000
3101020010110101020122
43230022112130000
531103301330240
61453054155412
7200120413562
oct35412263400
911203411218
103962136320
11175358272a
12926ab2b68
134b1b2537c
142982d9332
15182c964b5
hexec296700

3962136320 has 72 divisors (see below), whose sum is σ = 9620789136. Its totient is φ = 1563107328.

The previous prime is 3962136313. The next prime is 3962136323. The reversal of 3962136320 is 236312693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3962136323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72239 + ... + 114641.

Almost surely, 23962136320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3962136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810394568).

3962136320 is an abundant number, since it is smaller than the sum of its proper divisors (5658652816).

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

3962136320 is an equidigital number, since it uses as much as digits as its factorization.

3962136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42497 (or 42483 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 35.

The square root of 3962136320 is about 62945.5027781970. The cubic root of 3962136320 is about 1582.3764271052.

The spelling of 3962136320 in words is "three billion, nine hundred sixty-two million, one hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 584 640 730 1168 1280 1460 2336 2920 4672 5840 9344 11680 18688 23360 42403 46720 84806 93440 169612 212015 339224 424030 678448 848060 1356896 1696120 2713792 3095419 3392240 5427584 6190838 6784480 10855168 12381676 13568960 15477095 24763352 27137920 30954190 49526704 54275840 61908380 99053408 123816760 198106816 247633520 396213632 495267040 792427264 990534080 1981068160 3962136320