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164895540 = 22354363913
BaseRepresentation
bin10011101010000…
…01101100110100
3102111021120011020
421311001230310
5314203124130
624210141140
74041406005
oct1165015464
9374246136
10164895540
1185096507
12472817b0
1328215b34
1417c851ac
15e722e10
hex9d41b34

164895540 has 48 divisors (see below), whose sum is σ = 472452288. Its totient is φ = 42948864.

The previous prime is 164895517. The next prime is 164895553. The reversal of 164895540 is 45598461.

It is a super-2 number, since 2×1648955402 = 54381078223783200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164895492 and 164895501.

It is a congruent number.

It is an unprimeable number.

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, 29377 + ... + 34536.

It is an arithmetic number, because the mean of its divisors is an integer number (9842756).

Almost surely, 2164895540 is an apocalyptic number.

164895540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164895540 is an abundant number, since it is smaller than the sum of its proper divisors (307556748).

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

164895540 is a wasteful number, since it uses less digits than its factorization.

164895540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63968 (or 63966 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 164895540 is about 12841.1658349232. The cubic root of 164895540 is about 548.3648847699.

The spelling of 164895540 in words is "one hundred sixty-four million, eight hundred ninety-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 63913 127826 191739 255652 319565 383478 639130 766956 958695 1278260 1917390 2748259 3834780 5496518 8244777 10993036 13741295 16489554 27482590 32979108 41223885 54965180 82447770 164895540