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166928490 = 232519314767
BaseRepresentation
bin10011111001100…
…10000001101010
3102122002211211200
421330302001222
5320213202430
624321505030
74064603661
oct1174620152
9378084750
10166928490
1186254933
1247aa2176
1328778271
1418253dd8
15e9c5460
hex9f3206a

166928490 has 192 divisors, whose sum is σ = 488816640. Its totient is φ = 39346560.

The previous prime is 166928477. The next prime is 166928519. The reversal of 166928490 is 94829661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 2491437 + ... + 2491503.

It is an arithmetic number, because the mean of its divisors is an integer number (2545920).

Almost surely, 2166928490 is an apocalyptic number.

166928490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166928490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244408320).

166928490 is an abundant number, since it is smaller than the sum of its proper divisors (321888150).

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

166928490 is a wasteful number, since it uses less digits than its factorization.

166928490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 166928490 is about 12920.0808820998. The cubic root of 166928490 is about 550.6092312456.

The spelling of 166928490 in words is "one hundred sixty-six million, nine hundred twenty-eight thousand, four hundred ninety".