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20487264 = 253743709
BaseRepresentation
bin100111000100…
…1110001100000
31102112212020120
41032021301200
520221043024
62011040240
7336065430
oct116116140
942485216
1020487264
1110623426
126a40080
134324155
142a142c0
151bea479
hex1389c60

20487264 has 96 divisors (see below), whose sum is σ = 62979840. Its totient is φ = 5709312.

The previous prime is 20487251. The next prime is 20487289. The reversal of 20487264 is 46278402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28542 + ... + 29250.

It is an arithmetic number, because the mean of its divisors is an integer number (656040).

Almost surely, 220487264 is an apocalyptic number.

20487264 is a gapful number since it is divisible by the number (24) 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 20487264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31489920).

20487264 is an abundant number, since it is smaller than the sum of its proper divisors (42492576).

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

20487264 is a wasteful number, since it uses less digits than its factorization.

20487264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 20487264 is about 4526.2858946381. The cubic root of 20487264 is about 273.6284946897.

The spelling of 20487264 in words is "twenty million, four hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 709 903 1032 1204 1376 1418 1806 2064 2127 2408 2836 3612 4128 4254 4816 4963 5672 7224 8508 9632 9926 11344 14448 14889 17016 19852 22688 28896 29778 30487 34032 39704 59556 60974 68064 79408 91461 119112 121948 158816 182922 213409 238224 243896 365844 426818 476448 487792 640227 731688 853636 975584 1280454 1463376 1707272 2560908 2926752 3414544 5121816 6829088 10243632 20487264