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166552960 = 2757247113
BaseRepresentation
bin10011110110101…
…10010110000000
3102121101202201011
421323112112000
5320114143320
624305450304
74061451100
oct1173262600
9377352634
10166552960
1186018782
1247940994
1328676362
1418197200
15e94e05a
hex9ed6580

166552960 has 192 divisors, whose sum is σ = 477213120. Its totient is φ = 55394304.

The previous prime is 166552949. The next prime is 166552973. The reversal of 166552960 is 69255661.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1473864 + ... + 1473976.

It is an arithmetic number, because the mean of its divisors is an integer number (2485485).

Almost surely, 2166552960 is an apocalyptic number.

166552960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238606560).

166552960 is an abundant number, since it is smaller than the sum of its proper divisors (310660160).

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

166552960 is a wasteful number, since it uses less digits than its factorization.

166552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 166552960 is about 12905.5398957192. The cubic root of 166552960 is about 550.1960292971.

The spelling of 166552960 in words is "one hundred sixty-six million, five hundred fifty-two thousand, nine hundred sixty".