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23109408 = 253373821
BaseRepresentation
bin101100000100…
…1111100100000
31121111002011000
41120021330200
521404000113
62143152000
7400266240
oct130117440
947432130
1023109408
1112054493
1278a5600
134a3180a
1430d7b20
152067373
hex1609f20

23109408 has 96 divisors (see below), whose sum is σ = 77051520. Its totient is φ = 6600960.

The previous prime is 23109407. The next prime is 23109413. The reversal of 23109408 is 80490132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×231094082 = 1068089476220928, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23109403) 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, 4138 + ... + 7958.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 223109408 is an apocalyptic number.

23109408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23109408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

23109408 is an abundant number, since it is smaller than the sum of its proper divisors (53942112).

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

23109408 is a wasteful number, since it uses less digits than its factorization.

23109408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23109408 is about 4807.2245630925. The cubic root of 23109408 is about 284.8369150062.

The spelling of 23109408 in words is "twenty-three million, one hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 3821 6048 7642 11463 15284 22926 26747 30568 34389 45852 53494 61136 68778 80241 91704 103167 106988 122272 137556 160482 183408 206334 213976 240723 275112 320964 366816 412668 427952 481446 550224 641928 722169 825336 855904 962892 1100448 1283856 1444338 1650672 1925784 2567712 2888676 3301344 3851568 5777352 7703136 11554704 23109408