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146006442 = 23314931811
BaseRepresentation
bin10001011001111…
…10000110101010
3101011201220012000
420230332012222
5244334201232
622253231430
73422014521
oct1054760652
9334656160
10146006442
117546488a
1240a92576
132433125a
14155694b8
15cc4127c
hex8b3e1aa

146006442 has 32 divisors (see below), whose sum is σ = 324855360. Its totient is φ = 48609360.

The previous prime is 146006347. The next prime is 146006479. The reversal of 146006442 is 244600641.

146006442 is a `hidden beast` number, since 14 + 6 + 0 + 0 + 644 + 2 = 666.

146006442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1460064422 = 42635762210998728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79717 + ... + 81527.

It is an arithmetic number, because the mean of its divisors is an integer number (10151730).

Almost surely, 2146006442 is an apocalyptic number.

146006442 is an abundant number, since it is smaller than the sum of its proper divisors (178848918).

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

146006442 is a wasteful number, since it uses less digits than its factorization.

146006442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 146006442 is about 12083.3125425108. The cubic root of 146006442 is about 526.5714872777.

The spelling of 146006442 in words is "one hundred forty-six million, six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 1493 1811 2986 3622 4479 5433 8958 10866 13437 16299 26874 32598 40311 48897 80622 97794 2703823 5407646 8111469 16222938 24334407 48668814 73003221 146006442