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23420826 = 2351113337
BaseRepresentation
bin101100101010…
…1111110011010
31122001220100000
41121111332122
521443431301
62153553430
7403034202
oct131257632
948056300
1023420826
1112247460
127a15876
134b104a0
143179402
1520c9786
hex1655f9a

23420826 has 96 divisors (see below), whose sum is σ = 62008128. Its totient is φ = 6531840.

The previous prime is 23420819. The next prime is 23420867. The reversal of 23420826 is 62802432.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23420826.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69330 + ... + 69666.

It is an arithmetic number, because the mean of its divisors is an integer number (645918).

Almost surely, 223420826 is an apocalyptic number.

23420826 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23420826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31004064).

23420826 is an abundant number, since it is smaller than the sum of its proper divisors (38587302).

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

23420826 is a wasteful number, since it uses less digits than its factorization.

23420826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23420826 is about 4839.5067930524. The cubic root of 23420826 is about 286.1106797730.

The spelling of 23420826 in words is "twenty-three million, four hundred twenty thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 337 351 429 486 594 674 702 858 891 1011 1053 1287 1782 2022 2106 2574 2673 3033 3159 3707 3861 4381 5346 6066 6318 7414 7722 8762 9099 11121 11583 13143 18198 22242 23166 26286 27297 33363 34749 39429 48191 54594 66726 69498 78858 81891 96382 100089 118287 144573 163782 200178 236574 289146 300267 354861 433719 600534 709722 867438 900801 1064583 1301157 1801602 2129166 2602314 3903471 7806942 11710413 23420826