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21037104 = 24331119233
BaseRepresentation
bin101000001000…
…0000000110000
31110120210111000
41100100000300
520341141404
62030522000
7343545444
oct120200060
943523430
1021037104
1110969540
127066300
1344874ba
142b18824
151ca8339
hex1410030

21037104 has 160 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 6013440.

The previous prime is 21037103. The next prime is 21037117. The reversal of 21037104 is 40173012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21037103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90172 + ... + 90404.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 221037104 is an apocalyptic number.

21037104 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 21037104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

21037104 is an abundant number, since it is smaller than the sum of its proper divisors (48601296).

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

21037104 is a wasteful number, since it uses less digits than its factorization.

21037104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 21037104 is about 4586.6222866070. The cubic root of 21037104 is about 276.0548095308.

The spelling of 21037104 in words is "twenty-one million, thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 233 264 297 304 342 396 418 432 456 466 513 528 594 627 684 699 792 836 912 932 1026 1188 1254 1368 1398 1584 1672 1864 1881 2052 2097 2376 2508 2563 2736 2796 3344 3728 3762 4104 4194 4427 4752 5016 5126 5592 5643 6291 7524 7689 8208 8388 8854 10032 10252 11184 11286 12582 13281 15048 15378 16776 17708 20504 22572 23067 25164 26562 30096 30756 33552 35416 39843 41008 45144 46134 48697 50328 53124 61512 69201 70832 79686 90288 92268 97394 100656 106248 119529 123024 138402 146091 159372 184536 194788 212496 239058 276804 292182 318744 369072 389576 438273 478116 553608 584364 637488 779152 876546 956232 1107216 1168728 1314819 1753092 1912464 2337456 2629638 3506184 5259276 7012368 10518552 21037104