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142470576 = 2434211521
BaseRepresentation
bin10000111110111…
…10110110110000
3100221002020220000
420133132312300
5242433024301
622045350000
73346660053
oct1037366660
9327066800
10142470576
117346a286
123b868300
1323693a21
1414cc8a9a
15c793786
hex87dedb0

142470576 has 100 divisors (see below), whose sum is σ = 415100664. Its totient is φ = 47174400.

The previous prime is 142470553. The next prime is 142470589. The reversal of 142470576 is 675074241.

142470576 is a `hidden beast` number, since 1 + 42 + 47 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142470576.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 273196 + ... + 273716.

Almost surely, 2142470576 is an apocalyptic number.

142470576 is a gapful number since it is divisible by the number (16) 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 142470576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207550332).

142470576 is an abundant number, since it is smaller than the sum of its proper divisors (272630088).

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

142470576 is a wasteful number, since it uses less digits than its factorization.

142470576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 142470576 is about 11936.1038869474. The cubic root of 142470576 is about 522.2860105237.

The spelling of 142470576 in words is "one hundred forty-two million, four hundred seventy thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 211 216 324 422 432 521 633 648 844 1042 1266 1296 1563 1688 1899 2084 2532 3126 3376 3798 4168 4689 5064 5697 6252 7596 8336 9378 10128 11394 12504 14067 15192 17091 18756 22788 25008 28134 30384 34182 37512 42201 45576 56268 68364 75024 84402 91152 109931 112536 136728 168804 219862 225072 273456 329793 337608 439724 659586 675216 879448 989379 1319172 1758896 1978758 2638344 2968137 3957516 5276688 5936274 7915032 8904411 11872548 15830064 17808822 23745096 35617644 47490192 71235288 142470576