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142012672 = 282389271
BaseRepresentation
bin10000111011011…
…11000100000000
3100220012222202121
420131233010000
5242323401142
622031454024
73343042054
oct1035570400
9326188677
10142012672
117318724a
123b687314
1323563489
1414c09c64
15c702c67
hex876f100

142012672 has 72 divisors (see below), whose sum is σ = 300222720. Its totient is φ = 66908160.

The previous prime is 142012639. The next prime is 142012699. The reversal of 142012672 is 276210241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523897 + ... + 524167.

It is an arithmetic number, because the mean of its divisors is an integer number (4169760).

Almost surely, 2142012672 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 142012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150111360).

142012672 is an abundant number, since it is smaller than the sum of its proper divisors (158210048).

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

142012672 is an equidigital number, since it uses as much as digits as its factorization.

142012672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 142012672 is about 11916.9069812599. The cubic root of 142012672 is about 521.7258632117.

The spelling of 142012672 in words is "one hundred forty-two million, twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 256 271 356 368 542 712 736 1084 1424 1472 2047 2168 2848 2944 4094 4336 5696 5888 6233 8188 8672 11392 12466 16376 17344 22784 24119 24932 32752 34688 48238 49864 65504 69376 96476 99728 131008 192952 199456 262016 385904 398912 524032 554737 771808 797824 1109474 1543616 1595648 2218948 3087232 4437896 6174464 8875792 17751584 35503168 71006336 142012672