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166920992 = 2573532111
BaseRepresentation
bin10011111001100…
…00001100100000
3102122002110112222
421330300030200
5320212432432
624321410212
74064543060
oct1174601440
9378073488
10166920992
118624a237
1247a99968
1328774a24
14182513a0
15e9c3112
hex9f30320

166920992 has 48 divisors (see below), whose sum is σ = 376814592. Its totient is φ = 71301120.

The previous prime is 166920979. The next prime is 166921003. The reversal of 166920992 is 299029661.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78017 + ... + 80127.

It is an arithmetic number, because the mean of its divisors is an integer number (7850304).

Almost surely, 2166920992 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 166920992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188407296).

166920992 is an abundant number, since it is smaller than the sum of its proper divisors (209893600).

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

166920992 is a wasteful number, since it uses less digits than its factorization.

166920992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 166920992 is about 12919.7907103792. The cubic root of 166920992 is about 550.6009871370.

The spelling of 166920992 in words is "one hundred sixty-six million, nine hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 353 706 1412 2111 2471 2824 4222 4942 5648 8444 9884 11296 14777 16888 19768 29554 33776 39536 59108 67552 79072 118216 236432 472864 745183 1490366 2980732 5216281 5961464 10432562 11922928 20865124 23845856 41730248 83460496 166920992