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168442160 = 24515713411
BaseRepresentation
bin10100000101000…
…11100100110000
3102201221202012112
422002203210300
5321110122120
624414144452
74113510005
oct1202434460
9381852175
10168442160
11870990a7
12484b2128
1328b88223
14185298ac
15ebc3bc5
hexa0a3930

168442160 has 40 divisors (see below), whose sum is σ = 394151856. Its totient is φ = 66942720.

The previous prime is 168442159. The next prime is 168442177. The reversal of 168442160 is 61244861.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1684421602 = 56745522530931200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5855 + ... + 19265.

Almost surely, 2168442160 is an apocalyptic number.

168442160 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 168442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197075928).

168442160 is an abundant number, since it is smaller than the sum of its proper divisors (225709696).

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

168442160 is a wasteful number, since it uses less digits than its factorization.

168442160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13581 (or 13575 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 168442160 is about 12978.5268809677. The cubic root of 168442160 is about 552.2684929223.

The spelling of 168442160 in words is "one hundred sixty-eight million, four hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 13411 26822 53644 67055 107288 134110 214576 268220 536440 1072880 2105527 4211054 8422108 10527635 16844216 21055270 33688432 42110540 84221080 168442160