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146890931 = 11175314821
BaseRepresentation
bin10001100000101…
…10000010110011
3101020101211110212
420300112002303
5300101002211
622324214335
73432360305
oct1060260263
9336354425
10146890931
1175a09370
124123a3ab
1324580a15
1415719975
15cd6838b
hex8c160b3

146890931 has 16 divisors (see below), whose sum is σ = 172883808. Its totient is φ = 123302400.

The previous prime is 146890921. The next prime is 146890937. The reversal of 146890931 is 139098641.

It is a cyclic number.

It is not a de Polignac number, because 146890931 - 214 = 146874547 is a prime.

It is a super-2 number, since 2×1468909312 = 43153891220093522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146890937) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2501 + ... + 17321.

It is an arithmetic number, because the mean of its divisors is an integer number (10805238).

Almost surely, 2146890931 is an apocalyptic number.

146890931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146890931 is a deficient number, since it is larger than the sum of its proper divisors (25992877).

146890931 is a wasteful number, since it uses less digits than its factorization.

146890931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14902.

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 146890931 is about 12119.8568885940. The cubic root of 146890931 is about 527.6326490449.

The spelling of 146890931 in words is "one hundred forty-six million, eight hundred ninety thousand, nine hundred thirty-one".

Divisors: 1 11 17 53 187 583 901 9911 14821 163031 251957 785513 2771527 8640643 13353721 146890931