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166431540 = 223511252169
BaseRepresentation
bin10011110101110…
…00101100110100
3102121011121011010
421322320230310
5320101302130
624303112220
74060434102
oct1172705464
9377147133
10166431540
1185a45530
12478a2670
1328633002
1418164c72
15e9280b0
hex9eb8b34

166431540 has 48 divisors (see below), whose sum is σ = 508374720. Its totient is φ = 40346880.

The previous prime is 166431527. The next prime is 166431553. The reversal of 166431540 is 45134661.

It is an interprime number because it is at equal distance from previous prime (166431527) and next prime (166431553).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 166431498 and 166431507.

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, 125425 + ... + 126744.

It is an arithmetic number, because the mean of its divisors is an integer number (10591140).

Almost surely, 2166431540 is an apocalyptic number.

166431540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166431540 is an abundant number, since it is smaller than the sum of its proper divisors (341943180).

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

166431540 is a wasteful number, since it uses less digits than its factorization.

166431540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252192 (or 252190 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 166431540 is about 12900.8348567060. The cubic root of 166431540 is about 550.0622959741.

The spelling of 166431540 in words is "one hundred sixty-six million, four hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 252169 504338 756507 1008676 1260845 1513014 2521690 2773859 3026028 3782535 5043380 5547718 7565070 8321577 11095436 13869295 15130140 16643154 27738590 33286308 41607885 55477180 83215770 166431540