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142075008 = 2732196491
BaseRepresentation
bin10000111011111…
…10010010000000
3100220100011021100
420131332102000
5242332400013
622033054400
73343421565
oct1035762200
9326304240
10142075008
117321a069
123b6b7400
132358596a
1414c2486c
15c716473
hex877e480

142075008 has 96 divisors (see below), whose sum is σ = 430419600. Its totient is φ = 44858880.

The previous prime is 142074971. The next prime is 142075019. The reversal of 142075008 is 800570241.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18643 + ... + 25133.

Almost surely, 2142075008 is an apocalyptic number.

142075008 is a gapful number since it is divisible by the number (18) 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 142075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215209800).

142075008 is an abundant number, since it is smaller than the sum of its proper divisors (288344592).

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

142075008 is a wasteful number, since it uses less digits than its factorization.

142075008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6530 (or 6515 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 142075008 is about 11919.5221380725. The cubic root of 142075008 is about 521.8021886682.

The spelling of 142075008 in words is "one hundred forty-two million, seventy-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 6491 7296 10944 12982 19473 21888 25964 38946 51928 58419 77892 103856 116838 123329 155784 207712 233676 246658 311568 369987 415424 467352 493316 623136 739974 830848 934704 986632 1109961 1246272 1479948 1869408 1973264 2219922 2492544 2959896 3738816 3946528 4439844 5919792 7477632 7893056 8879688 11839584 15786112 17759376 23679168 35518752 47358336 71037504 142075008