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142616064 = 29392849
BaseRepresentation
bin10001000000000…
…10011000000000
3100221100122110110
420200002120000
5243002203224
622052431320
73351134163
oct1040023000
9327318413
10142616064
1173559618
123b918540
1323715006
1414d25ada
15c7c1929
hex8802600

142616064 has 40 divisors (see below), whose sum is σ = 379942200. Its totient is φ = 47538176.

The previous prime is 142616017. The next prime is 142616087. The reversal of 142616064 is 460616241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44889 + ... + 47960.

It is an arithmetic number, because the mean of its divisors is an integer number (9498555).

Almost surely, 2142616064 is an apocalyptic number.

It is an amenable number.

142616064 is an abundant number, since it is smaller than the sum of its proper divisors (237326136).

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

142616064 is an frugal number, since it uses more digits than its factorization.

142616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92870 (or 92854 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 142616064 is about 11942.1967828369. The cubic root of 142616064 is about 522.4637325925.

The spelling of 142616064 in words is "one hundred forty-two million, six hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 92849 185698 278547 371396 557094 742792 1114188 1485584 2228376 2971168 4456752 5942336 8913504 11884672 17827008 23769344 35654016 47538688 71308032 142616064