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21107952 = 24356189
BaseRepresentation
bin101000010000…
…1010011110000
31110201101200000
41100201103300
520400423302
62032230000
7344262135
oct120412360
943641600
1021107952
1110a07798
12709b300
1344b0818
142b3658c
151cbe31c
hex14214f0

21107952 has 120 divisors (see below), whose sum is σ = 62964720. Its totient is φ = 6842880.

The previous prime is 21107929. The next prime is 21107953. The reversal of 21107952 is 25970112.

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 (21107953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237124 + ... + 237212.

It is an arithmetic number, because the mean of its divisors is an integer number (524706).

Almost surely, 221107952 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 21107952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31482360).

21107952 is an abundant number, since it is smaller than the sum of its proper divisors (41856768).

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

21107952 is an equidigital number, since it uses as much as digits as its factorization.

21107952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 21107952 is about 4594.3391254891. The cubic root of 21107952 is about 276.3643581048.

The spelling of 21107952 in words is "twenty-one million, one hundred seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 89 108 122 144 162 178 183 216 243 244 267 324 356 366 432 486 488 534 549 648 712 732 801 972 976 1068 1098 1296 1424 1464 1602 1647 1944 2136 2196 2403 2928 3204 3294 3888 4272 4392 4806 4941 5429 6408 6588 7209 8784 9612 9882 10858 12816 13176 14418 14823 16287 19224 19764 21627 21716 26352 28836 29646 32574 38448 39528 43254 43432 48861 57672 59292 65148 79056 86508 86864 97722 115344 118584 130296 146583 173016 195444 237168 260592 293166 346032 390888 439749 586332 781776 879498 1172664 1319247 1758996 2345328 2638494 3517992 5276988 7035984 10553976 21107952