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142167690 = 233571937107
BaseRepresentation
bin10000111100101…
…00111010001010
3100220111212102000
420132110322022
5242343331230
622035051430
73344256030
oct1036247212
9326455360
10142167690
1173282765
123b740b76
13235b8bc2
1414c4a550
15c733b60
hex8794e8a

142167690 has 256 divisors, whose sum is σ = 472780800. Its totient is φ = 29673216.

The previous prime is 142167659. The next prime is 142167713. The reversal of 142167690 is 96761241.

It is a super-2 number, since 2×1421676902 = 40423304159872200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1328617 + ... + 1328723.

It is an arithmetic number, because the mean of its divisors is an integer number (1846800).

Almost surely, 2142167690 is an apocalyptic number.

142167690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142167690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236390400).

142167690 is an abundant number, since it is smaller than the sum of its proper divisors (330613110).

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

142167690 is a wasteful number, since it uses less digits than its factorization.

142167690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 142167690 is about 11923.4093278726. The cubic root of 142167690 is about 521.9156291172.

The spelling of 142167690 in words is "one hundred forty-two million, one hundred sixty-seven thousand, six hundred ninety".