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146046660 = 2235171311093
BaseRepresentation
bin10001011010001…
…11111011000100
3101011210221100120
420231013323010
5244341443120
622254141540
73422243004
oct1055077304
9334727316
10146046660
1175492021
1240ab18b0
1324346656
141557a004
15cc4d140
hex8b47ec4

146046660 has 96 divisors (see below), whose sum is σ = 436689792. Its totient is φ = 36341760.

The previous prime is 146046631. The next prime is 146046713. The reversal of 146046660 is 66640641.

146046660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133074 + ... + 134166.

It is an arithmetic number, because the mean of its divisors is an integer number (4548852).

Almost surely, 2146046660 is an apocalyptic number.

146046660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146046660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218344896).

146046660 is an abundant number, since it is smaller than the sum of its proper divisors (290643132).

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

146046660 is a wasteful number, since it uses less digits than its factorization.

146046660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 146046660 is about 12084.9766238913. The cubic root of 146046660 is about 526.6198315097.

The spelling of 146046660 in words is "one hundred forty-six million, forty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 131 170 204 255 262 340 393 510 524 655 786 1020 1093 1310 1572 1965 2186 2227 2620 3279 3930 4372 4454 5465 6558 6681 7860 8908 10930 11135 13116 13362 16395 18581 21860 22270 26724 32790 33405 37162 44540 55743 65580 66810 74324 92905 111486 133620 143183 185810 222972 278715 286366 371620 429549 557430 572732 715915 859098 1114860 1431830 1718196 2147745 2434111 2863660 4295490 4868222 7302333 8590980 9736444 12170555 14604666 24341110 29209332 36511665 48682220 73023330 146046660