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128830944 = 25311196421
BaseRepresentation
bin1111010110111…
…00110111100000
322222102021211110
413223130313200
5230440042234
620441143320
73123021264
oct753346740
9288367743
10128830944
11667a3660
123718ab40
13208c9638
14131780a4
15b49c1e9
hex7adcde0

128830944 has 96 divisors (see below), whose sum is σ = 388402560. Its totient is φ = 36979200.

The previous prime is 128830937. The next prime is 128830951. The reversal of 128830944 is 449038821.

It is an interprime number because it is at equal distance from previous prime (128830937) and next prime (128830951).

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

It is a super-2 number, since 2×1288309442 = 33194824263862272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16854 + ... + 23274.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 2128830944 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 128830944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194201280).

128830944 is an abundant number, since it is smaller than the sum of its proper divisors (259571616).

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

128830944 is a wasteful number, since it uses less digits than its factorization.

128830944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 128830944 is about 11350.3719762834. The cubic root of 128830944 is about 505.0566142456.

The spelling of 128830944 in words is "one hundred twenty-eight million, eight hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6421 6688 10032 12842 19263 20064 25684 38526 51368 70631 77052 102736 121999 141262 154104 205472 211893 243998 282524 308208 365997 423786 487996 565048 616416 731994 847572 975992 1130096 1341989 1463988 1695144 1951984 2260192 2683978 2927976 3390288 3903968 4025967 5367956 5855952 6780576 8051934 10735912 11711904 16103868 21471824 32207736 42943648 64415472 128830944