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21105672 = 23372131137
BaseRepresentation
bin101000010000…
…0110000001000
31110201021112120
41100200300020
520400340142
62032211240
7344252400
oct120406010
943637476
1021105672
1110a06005
127099b20
1344ac783
142b35800
151cbd7ec
hex1420c08

21105672 has 96 divisors (see below), whose sum is σ = 62298720. Its totient is φ = 5940480.

The previous prime is 21105671. The next prime is 21105677. The reversal of 21105672 is 27650112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21105671) 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, 153988 + ... + 154124.

It is an arithmetic number, because the mean of its divisors is an integer number (648945).

Almost surely, 221105672 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 21105672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31149360).

21105672 is an abundant number, since it is smaller than the sum of its proper divisors (41193048).

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

21105672 is a wasteful number, since it uses less digits than its factorization.

21105672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 21105672 is about 4594.0909873445. The cubic root of 21105672 is about 276.3544071406.

Adding to 21105672 its reverse (27650112), we get a palindrome (48755784).

The spelling of 21105672 in words is "twenty-one million, one hundred five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 131 137 147 168 196 262 274 294 392 393 411 524 548 588 786 822 917 959 1048 1096 1176 1572 1644 1834 1918 2751 2877 3144 3288 3668 3836 5502 5754 6419 6713 7336 7672 11004 11508 12838 13426 17947 19257 20139 22008 23016 25676 26852 35894 38514 40278 51352 53704 53841 71788 77028 80556 107682 125629 143576 154056 161112 215364 251258 376887 430728 502516 753774 879403 1005032 1507548 1758806 2638209 3015096 3517612 5276418 7035224 10552836 21105672