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166113432 = 233217912889
BaseRepresentation
bin10011110011010…
…11000010011000
3102120120102210100
421321223002120
5320011112212
624252215400
74054640502
oct1171530230
9376512710
10166113432
1185848531
124776a560
1328551294
14180c0d72
15e8b3bdc
hex9e6b098

166113432 has 48 divisors (see below), whose sum is σ = 452439000. Its totient is φ = 55057536.

The previous prime is 166113413. The next prime is 166113433. The reversal of 166113432 is 234311661.

166113432 is a `hidden beast` number, since 1 + 6 + 611 + 3 + 43 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 166113396 and 166113405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166113433) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6444 + ... + 19332.

Almost surely, 2166113432 is an apocalyptic number.

166113432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 12888×12889.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166113432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226219500).

166113432 is an abundant number, since it is smaller than the sum of its proper divisors (286325568).

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

166113432 is a wasteful number, since it uses less digits than its factorization.

166113432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13080 (or 13073 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 166113432 is about 12888.4999903014. The cubic root of 166113432 is about 549.7116196194.

The spelling of 166113432 in words is "one hundred sixty-six million, one hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179 358 537 716 1074 1432 1611 2148 3222 4296 6444 12888 12889 25778 38667 51556 77334 103112 116001 154668 232002 309336 464004 928008 2307131 4614262 6921393 9228524 13842786 18457048 20764179 27685572 41528358 55371144 83056716 166113432