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166268928 = 212371933
BaseRepresentation
bin10011110100100…
…01000000000000
3102120212100002110
421322101000000
5320031101203
624255415320
74056156030
oct1172210000
9376770073
10166268928
1185944341
1247824540
13285a6ca7
14181218c0
15e8e4d03
hex9e91000

166268928 has 104 divisors (see below), whose sum is σ = 506924608. Its totient is φ = 47480832.

The previous prime is 166268923. The next prime is 166268987. The reversal of 166268928 is 829862661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166268923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85050 + ... + 86982.

Almost surely, 2166268928 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 166268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253462304).

166268928 is an abundant number, since it is smaller than the sum of its proper divisors (340655680).

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

166268928 is an equidigital number, since it uses as much as digits as its factorization.

166268928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1945 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 166268928 is about 12894.5309336943. The cubic root of 166268928 is about 549.8830914050.

The spelling of 166268928 in words is "one hundred sixty-six million, two hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 1933 2048 2688 3072 3584 3866 4096 5376 5799 6144 7168 7732 10752 11598 12288 13531 14336 15464 21504 23196 27062 28672 30928 40593 43008 46392 54124 61856 81186 86016 92784 108248 123712 162372 185568 216496 247424 324744 371136 432992 494848 649488 742272 865984 989696 1298976 1484544 1731968 1979392 2597952 2969088 3463936 3958784 5195904 5938176 6927872 7917568 10391808 11876352 13855744 20783616 23752704 27711488 41567232 55422976 83134464 166268928