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21342528 = 263423179
BaseRepresentation
bin101000101101…
…0100101000000
31111011022110000
41101122211000
520430430103
62041240000
7346260054
oct121324500
944138400
1021342528
1111057a59
127193000
13456351c
142b97c64
151d18aa3
hex145a940

21342528 has 140 divisors (see below), whose sum is σ = 66385440. Its totient is φ = 6766848.

The previous prime is 21342523. The next prime is 21342533. The reversal of 21342528 is 82524312.

21342528 is a `hidden beast` number, since 2 + 134 + 2 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (21342523) and next prime (21342533).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21342523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119143 + ... + 119321.

Almost surely, 221342528 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 21342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33192720).

21342528 is an abundant number, since it is smaller than the sum of its proper divisors (45042912).

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

21342528 is a wasteful number, since it uses less digits than its factorization.

21342528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 21342528 is about 4619.7973981550. The cubic root of 21342528 is about 277.3843491784.

The spelling of 21342528 in words is "twenty-one million, three hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 179 184 192 207 216 276 288 324 358 368 414 432 537 552 576 621 648 716 736 828 864 1074 1104 1242 1296 1432 1472 1611 1656 1728 1863 2148 2208 2484 2592 2864 3222 3312 3726 4117 4296 4416 4833 4968 5184 5728 6444 6624 7452 8234 8592 9666 9936 11456 12351 12888 13248 14499 14904 16468 17184 19332 19872 24702 25776 28998 29808 32936 34368 37053 38664 39744 49404 51552 57996 59616 65872 74106 77328 98808 103104 111159 115992 119232 131744 148212 154656 197616 222318 231984 263488 296424 309312 333477 395232 444636 463968 592848 666954 790464 889272 927936 1185696 1333908 1778544 2371392 2667816 3557088 5335632 7114176 10671264 21342528