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3960091328 = 26591139281
BaseRepresentation
bin1110110000001010…
…0011001011000000
3101012222121111001012
43230002203023000
531102240410303
61452542300052
7200064135524
oct35402431300
911188544035
103960091328
111752406256
12926287628
134b158a60b
14297d25d84
151829e05d8
hexec0a32c0

3960091328 has 56 divisors (see below), whose sum is σ = 8063087760. Its totient is φ = 1929052160.

The previous prime is 3960091307. The next prime is 3960091339. The reversal of 3960091328 is 8231900693.

It is a super-2 number, since 2×39600913282 = 31364646652201607168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422048 + ... + 431328.

It is an arithmetic number, because the mean of its divisors is an integer number (143983710).

Almost surely, 23960091328 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 3960091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031543880).

3960091328 is an abundant number, since it is smaller than the sum of its proper divisors (4102996432).

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

3960091328 is a wasteful number, since it uses less digits than its factorization.

3960091328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9465 (or 9455 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 3960091328 is about 62929.2565346199. The cubic root of 3960091328 is about 1582.1041409982.

The spelling of 3960091328 in words is "three billion, nine hundred sixty million, ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 59 64 113 118 226 236 452 472 904 944 1808 1888 3616 3776 6667 7232 9281 13334 18562 26668 37124 53336 74248 106672 148496 213344 296992 426688 547579 593984 1048753 1095158 2097506 2190316 4195012 4380632 8390024 8761264 16780048 17522528 33560096 35045056 61876427 67120192 123752854 247505708 495011416 990022832 1980045664 3960091328