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166431132 = 22337220147
BaseRepresentation
bin10011110101110…
…00100110011100
3102121011120121000
421322320212130
5320101244012
624303110300
74060432650
oct1172704634
9377146530
10166431132
1185a4519a
12478a2390
1328632a7a
1418164a60
15e927ddc
hex9eb899c

166431132 has 48 divisors (see below), whose sum is σ = 493131520. Its totient is φ = 47551536.

The previous prime is 166431121. The next prime is 166431191. The reversal of 166431132 is 231134661.

166431132 is a `hidden beast` number, since 1 + 6 + 643 + 1 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 166431096 and 166431105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109318 + ... + 110829.

Almost surely, 2166431132 is an apocalyptic number.

166431132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166431132 is an abundant number, since it is smaller than the sum of its proper divisors (326700388).

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

166431132 is a wasteful number, since it uses less digits than its factorization.

166431132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220167 (or 220159 counting only the distinct ones).

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

The square root of 166431132 is about 12900.8190437662. The cubic root of 166431132 is about 550.0618464887.

Adding to 166431132 its reverse (231134661), we get a palindrome (397565793).

The spelling of 166431132 in words is "one hundred sixty-six million, four hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 220147 440294 660441 880588 1320882 1541029 1981323 2641764 3082058 3962646 4623087 5943969 6164116 7925292 9246174 11887938 13869261 18492348 23775876 27738522 41607783 55477044 83215566 166431132