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146134608 = 24337107769
BaseRepresentation
bin10001011010111…
…01011001010000
3101011222101222220
420231131121100
5244402301413
622300101040
73423060264
oct1055353120
9334871886
10146134608
1175542104
1240b34780
13243776a9
14155a00a4
15cc69223
hex8b5d650

146134608 has 80 divisors (see below), whose sum is σ = 391849920. Its totient is φ = 46891008.

The previous prime is 146134607. The next prime is 146134627. The reversal of 146134608 is 806431641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146134603) 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 15 ways as a sum of consecutive naturals, for example, 189648 + ... + 190416.

It is an arithmetic number, because the mean of its divisors is an integer number (4898124).

Almost surely, 2146134608 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 146134608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

146134608 is an abundant number, since it is smaller than the sum of its proper divisors (245715312).

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

146134608 is a wasteful number, since it uses less digits than its factorization.

146134608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 146134608 is about 12088.6148089845. The cubic root of 146134608 is about 526.7255188911.

The spelling of 146134608 in words is "one hundred forty-six million, one hundred thirty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 107 111 148 214 222 296 321 428 444 592 642 769 856 888 1284 1538 1712 1776 2307 2568 3076 3959 4614 5136 6152 7918 9228 11877 12304 15836 18456 23754 28453 31672 36912 47508 56906 63344 82283 85359 95016 113812 164566 170718 190032 227624 246849 329132 341436 455248 493698 658264 682872 987396 1316528 1365744 1974792 3044471 3949584 6088942 9133413 12177884 18266826 24355768 36533652 48711536 73067304 146134608