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166212704 = 2572711493
BaseRepresentation
bin10011110100000…
…11010001100000
3102120202110222002
421322003101200
5320022301304
624254303132
74055533100
oct1172032140
9376673862
10166212704
1185906079
12477b7aa8
1328587518
1418109200
15e8d331e
hex9e83460

166212704 has 72 divisors (see below), whose sum is σ = 386276688. Its totient is φ = 70183680.

The previous prime is 166212677. The next prime is 166212707. The reversal of 166212704 is 407212661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166212707) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 110582 + ... + 112074.

It is an arithmetic number, because the mean of its divisors is an integer number (5364954).

Almost surely, 2166212704 is an apocalyptic number.

166212704 is a gapful number since it is divisible by the number (14) 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 166212704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193138344).

166212704 is an abundant number, since it is smaller than the sum of its proper divisors (220063984).

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

166212704 is a wasteful number, since it uses less digits than its factorization.

166212704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 166212704 is about 12892.3506002591. The cubic root of 166212704 is about 549.8211032496.

The spelling of 166212704 in words is "one hundred sixty-six million, two hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 71 98 112 142 196 224 284 392 497 568 784 994 1136 1493 1568 1988 2272 2986 3479 3976 5972 6958 7952 10451 11944 13916 15904 20902 23888 27832 41804 47776 55664 73157 83608 106003 111328 146314 167216 212006 292628 334432 424012 585256 742021 848024 1170512 1484042 1696048 2341024 2968084 3392096 5194147 5936168 10388294 11872336 20776588 23744672 41553176 83106352 166212704