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21293376 = 2631319449
BaseRepresentation
bin101000100111…
…0100101000000
31111001211000120
41101032211000
520422342001
62040220240
7345663546
oct121164500
944054016
1021293376
1111024035
12716a680
134547040
142b83d96
151d09236
hex144e940

21293376 has 112 divisors (see below), whose sum is σ = 64008000. Its totient is φ = 6193152.

The previous prime is 21293353. The next prime is 21293387. The reversal of 21293376 is 67339212.

It is a happy number.

It is a super-2 number, since 2×212933762 = 906815722954752, which contains 22 as substring.

Its product of digits (13608) is a multiple of the sum of its prime divisors (486).

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, 47200 + ... + 47648.

It is an arithmetic number, because the mean of its divisors is an integer number (571500).

Almost surely, 221293376 is an apocalyptic number.

21293376 is a gapful number since it is divisible by the number (26) 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 21293376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32004000).

21293376 is an abundant number, since it is smaller than the sum of its proper divisors (42714624).

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

21293376 is a wasteful number, since it uses less digits than its factorization.

21293376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 21293376 is about 4614.4746179820. The cubic root of 21293376 is about 277.1712460987.

The spelling of 21293376 in words is "twenty-one million, two hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 449 456 494 608 624 741 832 898 912 988 1216 1248 1347 1482 1796 1824 1976 2496 2694 2964 3592 3648 3952 5388 5837 5928 7184 7904 8531 10776 11674 11856 14368 15808 17062 17511 21552 23348 23712 25593 28736 34124 35022 43104 46696 47424 51186 68248 70044 86208 93392 102372 110903 136496 140088 186784 204744 221806 272992 280176 332709 373568 409488 443612 545984 560352 665418 818976 887224 1120704 1330836 1637952 1774448 2661672 3548896 5323344 7097792 10646688 21293376