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264655020 = 223572327397
BaseRepresentation
bin11111100011001…
…01000010101100
3200102222212102210
433301211002230
51020222430040
642132250420
76362346660
oct1761450254
9612885383
10264655020
11126433263
1274770a10
1342aa4006
14272128a0
151837b480
hexfc650ac

264655020 has 96 divisors (see below), whose sum is σ = 883749888. Its totient is φ = 57860352.

The previous prime is 264655019. The next prime is 264655021. The reversal of 264655020 is 20556462.

264655020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264655019) and next prime (264655021).

It is a super-2 number, since 2×2646550202 = 140084559222400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (264655021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4039 + ... + 23358.

It is an arithmetic number, because the mean of its divisors is an integer number (9205728).

Almost surely, 2264655020 is an apocalyptic number.

264655020 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 264655020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441874944).

264655020 is an abundant number, since it is smaller than the sum of its proper divisors (619094868).

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

264655020 is a wasteful number, since it uses less digits than its factorization.

264655020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27439 (or 27437 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 264655020 is about 16268.2211688924. The cubic root of 264655020 is about 642.0369831472.

The spelling of 264655020 in words is "two hundred sixty-four million, six hundred fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 27397 54794 82191 109588 136985 164382 191779 273970 328764 383558 410955 547940 575337 630131 767116 821910 958895 1150674 1260262 1643820 1890393 1917790 2301348 2520524 2876685 3150655 3780786 3835580 4410917 5753370 6301310 7561572 8821834 9451965 11506740 12602620 13232751 17643668 18903930 22054585 26465502 37807860 44109170 52931004 66163755 88218340 132327510 264655020