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21287808 = 2732171087
BaseRepresentation
bin101000100110…
…1001110000000
31111001112101100
41101031032000
520422202213
62040134400
7345641403
oct121151600
944045340
1021287808
111101a933
127167400
134544649
142b81d3a
151d07773
hex144d380

21287808 has 96 divisors (see below), whose sum is σ = 64920960. Its totient is φ = 6672384.

The previous prime is 21287797. The next prime is 21287831. The reversal of 21287808 is 80878212.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19041 + ... + 20127.

It is an arithmetic number, because the mean of its divisors is an integer number (676260).

Almost surely, 221287808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21287808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32460480).

21287808 is an abundant number, since it is smaller than the sum of its proper divisors (43633152).

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

21287808 is a wasteful number, since it uses less digits than its factorization.

21287808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 21287808 is about 4613.8712595823. The cubic root of 21287808 is about 277.1470848441.

21287808 divided by its sum of digits (36) gives a triangular number (591328 = T1087).

The spelling of 21287808 in words is "twenty-one million, two hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1087 1088 1152 1224 1632 2174 2176 2448 3261 3264 4348 4896 6522 6528 8696 9783 9792 13044 17392 18479 19566 19584 26088 34784 36958 39132 52176 55437 69568 73916 78264 104352 110874 139136 147832 156528 166311 208704 221748 295664 313056 332622 417408 443496 591328 626112 665244 886992 1182656 1252224 1330488 1773984 2365312 2660976 3547968 5321952 7095936 10643904 21287808