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142331160 = 23351816553
BaseRepresentation
bin10000111101111…
…00110100011000
3100220211011122110
420132330310120
5242414044120
622042352320
73345536436
oct1036746430
9326734573
10142331160
1173384564
123b7bb6a0
132364542a
1414c8dd56
15c7672e0
hex87bcd18

142331160 has 64 divisors (see below), whose sum is σ = 429418080. Its totient is φ = 37739520.

The previous prime is 142331047. The next prime is 142331173. The reversal of 142331160 is 61133241.

142331160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 18444 + ... + 24996.

Almost surely, 2142331160 is an apocalyptic number.

142331160 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 142331160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214709040).

142331160 is an abundant number, since it is smaller than the sum of its proper divisors (287086920).

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

142331160 is a wasteful number, since it uses less digits than its factorization.

142331160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 142331160 is about 11930.2623609039. The cubic root of 142331160 is about 522.1155921990.

The spelling of 142331160 in words is "one hundred forty-two million, three hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1086 1448 1810 2172 2715 3620 4344 5430 6553 7240 10860 13106 19659 21720 26212 32765 39318 52424 65530 78636 98295 131060 157272 196590 262120 393180 786360 1186093 2372186 3558279 4744372 5930465 7116558 9488744 11860930 14233116 17791395 23721860 28466232 35582790 47443720 71165580 142331160