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21415104 = 263917
BaseRepresentation
bin101000110110…
…0010011000000
31111022000000000
41101230103000
520440240404
62043000000
7350011464
oct121542300
944260000
1021415104
11110a7537
127209000
13458a579
142bb64a4
151d30339
hex146c4c0

21415104 has 140 divisors (see below), whose sum is σ = 67491864. Its totient is φ = 6718464.

The previous prime is 21415099. The next prime is 21415129. The reversal of 21415104 is 40151412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1259704 + ... + 1259720.

Almost surely, 221415104 is an apocalyptic number.

21415104 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 21415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33745932).

21415104 is an abundant number, since it is smaller than the sum of its proper divisors (46076760).

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

21415104 is an frugal number, since it uses more digits than its factorization.

21415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 21415104 is about 4627.6456216958. The cubic root of 21415104 is about 277.6984117911.

Adding to 21415104 its reverse (40151412), we get a palindrome (61566516).

The spelling of 21415104 in words is "twenty-one million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 243 272 288 306 324 408 432 459 486 544 576 612 648 729 816 864 918 972 1088 1224 1296 1377 1458 1632 1728 1836 1944 2187 2448 2592 2754 2916 3264 3672 3888 4131 4374 4896 5184 5508 5832 6561 7344 7776 8262 8748 9792 11016 11664 12393 13122 14688 15552 16524 17496 19683 22032 23328 24786 26244 29376 33048 34992 37179 39366 44064 46656 49572 52488 66096 69984 74358 78732 88128 99144 104976 111537 132192 139968 148716 157464 198288 209952 223074 264384 297432 314928 334611 396576 419904 446148 594864 629856 669222 793152 892296 1189728 1259712 1338444 1784592 2379456 2676888 3569184 5353776 7138368 10707552 21415104