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880420164 = 2231329712741
BaseRepresentation
bin110100011110100…
…010010101000100
32021100122222102020
4310132202111010
53300341421124
6223210243140
730550306431
oct6436422504
92240588366
10880420164
11411a79778
12206a264b0
1311052c5a0
1484d00b88
1552460379
hex347a2544

880420164 has 96 divisors (see below), whose sum is σ = 2321706240. Its totient is φ = 257779200.

The previous prime is 880420139. The next prime is 880420187. The reversal of 880420164 is 461024088.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 319834 + ... + 322574.

It is an arithmetic number, because the mean of its divisors is an integer number (24184440).

Almost surely, 2880420164 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 880420164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160853120).

880420164 is an abundant number, since it is smaller than the sum of its proper divisors (1441286076).

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

880420164 is a wasteful number, since it uses less digits than its factorization.

880420164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 880420164 is about 29671.8749660348. The cubic root of 880420164 is about 958.4364609439.

The spelling of 880420164 in words is "eight hundred eighty million, four hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 71 78 87 116 142 156 174 213 284 348 377 426 754 852 923 1131 1508 1846 2059 2262 2741 2769 3692 4118 4524 5482 5538 6177 8223 8236 10964 11076 12354 16446 24708 26767 32892 35633 53534 71266 79489 80301 106899 107068 142532 158978 160602 194611 213798 238467 317956 321204 389222 427596 476934 583833 778444 953868 1033357 1167666 2066714 2335332 2529943 3100071 4133428 5059886 5643719 6200142 7589829 10119772 11287438 12400284 15179658 16931157 22574876 30359316 33862314 67724628 73368347 146736694 220105041 293473388 440210082 880420164