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21105792 = 273331197
BaseRepresentation
bin101000010000…
…0110010000000
31110201021201000
41100200302000
520400341132
62032212000
7344252631
oct120406200
943637630
1021105792
1110a06104
12709a000
1344ac846
142b35888
151cbd87c
hex1420c80

21105792 has 128 divisors (see below), whose sum is σ = 64627200. Its totient is φ = 6773760.

The previous prime is 21105781. The next prime is 21105811. The reversal of 21105792 is 29750112.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107038 + ... + 107234.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 221105792 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 21105792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32313600).

21105792 is an abundant number, since it is smaller than the sum of its proper divisors (43521408).

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

21105792 is a wasteful number, since it uses less digits than its factorization.

21105792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

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

The square root of 21105792 is about 4594.1040475810. The cubic root of 21105792 is about 276.3549308934.

The spelling of 21105792 in words is "twenty-one million, one hundred five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 197 216 248 279 288 372 384 394 432 496 558 576 591 744 788 837 864 992 1116 1152 1182 1488 1576 1674 1728 1773 1984 2232 2364 2976 3152 3348 3456 3546 3968 4464 4728 5319 5952 6107 6304 6696 7092 8928 9456 10638 11904 12214 12608 13392 14184 17856 18321 18912 21276 24428 25216 26784 28368 35712 36642 37824 42552 48856 53568 54963 56736 73284 75648 85104 97712 107136 109926 113472 146568 164889 170208 195424 219852 226944 293136 329778 340416 390848 439704 586272 659556 680832 781696 879408 1172544 1319112 1758816 2345088 2638224 3517632 5276448 7035264 10552896 21105792