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146680083 = 32114136137
BaseRepresentation
bin10001011111000…
…10100100010011
3101020000010020200
420233202210103
5300022230313
622315510243
73430521504
oct1057424423
9336003220
10146680083
1175884a10
1241158383
1324508a64
14156a2bab
15cd25b73
hex8be2913

146680083 has 24 divisors (see below), whose sum is σ = 236776176. Its totient is φ = 86726400.

The previous prime is 146680081. The next prime is 146680103. The reversal of 146680083 is 380086641.

It is a happy number.

It is not a de Polignac number, because 146680083 - 21 = 146680081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146680081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14010 + ... + 22127.

It is an arithmetic number, because the mean of its divisors is an integer number (9865674).

Almost surely, 2146680083 is an apocalyptic number.

146680083 is a deficient number, since it is larger than the sum of its proper divisors (90096093).

146680083 is a wasteful number, since it uses less digits than its factorization.

146680083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36195 (or 36192 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146680083 is about 12111.1553123556. The cubic root of 146680083 is about 527.3800726145.

The spelling of 146680083 in words is "one hundred forty-six million, six hundred eighty thousand, eighty-three".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 36137 108411 325233 397507 1192521 1481617 3577563 4444851 13334553 16297787 48893361 146680083