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264187320 = 233516713183
BaseRepresentation
bin11111011111100…
…10110110111000
3200102010002212120
433233302312320
51020112443240
642114241240
76355361265
oct1757626670
9612102776
10264187320
11126143931
1274586220
134296c177
142713026c
15182d7ad0
hexfbf2db8

264187320 has 64 divisors (see below), whose sum is σ = 797368320. Its totient is φ = 70022784.

The previous prime is 264187277. The next prime is 264187349. The reversal of 264187320 is 23781462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13449 + ... + 26631.

It is an arithmetic number, because the mean of its divisors is an integer number (12458880).

Almost surely, 2264187320 is an apocalyptic number.

264187320 is a gapful number since it is divisible by the number (20) 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 264187320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398684160).

264187320 is an abundant number, since it is smaller than the sum of its proper divisors (533181000).

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

264187320 is a wasteful number, since it uses less digits than its factorization.

264187320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364 (or 13360 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 264187320 is about 16253.8401616356. The cubic root of 264187320 is about 641.6585562214.

The spelling of 264187320 in words is "two hundred sixty-four million, one hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1336 1670 2004 2505 3340 4008 5010 6680 10020 13183 20040 26366 39549 52732 65915 79098 105464 131830 158196 197745 263660 316392 395490 527320 790980 1581960 2201561 4403122 6604683 8806244 11007805 13209366 17612488 22015610 26418732 33023415 44031220 52837464 66046830 88062440 132093660 264187320