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142616136 = 233131992297
BaseRepresentation
bin10001000000000…
…10011001001000
3100221100122120010
420200002121020
5243002204021
622052431520
73351134325
oct1040023110
9327318503
10142616136
1173559683
123b9185a0
1323715060
1414d25b4c
15c7c1976
hex8802648

142616136 has 64 divisors (see below), whose sum is σ = 386064000. Its totient is φ = 43642368.

The previous prime is 142616119. The next prime is 142616137. The reversal of 142616136 is 631616241.

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

It is not an unprimeable number, because it can be changed into a prime (142616137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60940 + ... + 63236.

It is an arithmetic number, because the mean of its divisors is an integer number (6032250).

Almost surely, 2142616136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142616136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193032000).

142616136 is an abundant number, since it is smaller than the sum of its proper divisors (243447864).

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

142616136 is a wasteful number, since it uses less digits than its factorization.

142616136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2514 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 142616136 is about 11942.1997973573. The cubic root of 142616136 is about 522.4638205148.

The spelling of 142616136 in words is "one hundred forty-two million, six hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 199 312 398 597 796 1194 1592 2297 2388 2587 4594 4776 5174 6891 7761 9188 10348 13782 15522 18376 20696 27564 29861 31044 55128 59722 62088 89583 119444 179166 238888 358332 457103 716664 914206 1371309 1828412 2742618 3656824 5485236 5942339 10970472 11884678 17827017 23769356 35654034 47538712 71308068 142616136