Search a number
-
+
21804096 = 2631943139
BaseRepresentation
bin101001100101…
…1010001000000
31112000202121010
41103023101000
521040212341
62055200520
7353221536
oct123132100
945022533
1021804096
1111342816
127376140
134695642
142c78156
151daa716
hex14cb440

21804096 has 112 divisors (see below), whose sum is σ = 62585600. Its totient is φ = 6676992.

The previous prime is 21804091. The next prime is 21804109. The reversal of 21804096 is 69040812.

It is not an unprimeable number, because it can be changed into a prime (21804091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156795 + ... + 156933.

It is an arithmetic number, because the mean of its divisors is an integer number (558800).

Almost surely, 221804096 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 21804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31292800).

21804096 is an abundant number, since it is smaller than the sum of its proper divisors (40781504).

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

21804096 is a wasteful number, since it uses less digits than its factorization.

21804096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 21804096 is about 4669.4856247771. The cubic root of 21804096 is about 279.3697388516.

The spelling of 21804096 in words is "twenty-one million, eight hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 76 86 96 114 129 139 152 172 192 228 258 278 304 344 417 456 516 556 608 688 817 834 912 1032 1112 1216 1376 1634 1668 1824 2064 2224 2451 2641 2752 3268 3336 3648 4128 4448 4902 5282 5977 6536 6672 7923 8256 8896 9804 10564 11954 13072 13344 15846 17931 19608 21128 23908 26144 26688 31692 35862 39216 42256 47816 52288 63384 71724 78432 84512 95632 113563 126768 143448 156864 169024 191264 227126 253536 286896 340689 382528 454252 507072 573792 681378 908504 1147584 1362756 1817008 2725512 3634016 5451024 7268032 10902048 21804096