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23137408 = 27731731
BaseRepresentation
bin101100001000…
…0110010000000
31121112111120001
41120100302000
521410344113
62143525344
7400444000
oct130206200
947474501
1023137408
1112073528
1278b9854
134a41498
143104000
1520707dd
hex1610c80

23137408 has 128 divisors (see below), whose sum is σ = 58752000. Its totient is φ = 9031680.

The previous prime is 23137403. The next prime is 23137451. The reversal of 23137408 is 80473132.

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 (28).

It is not an unprimeable number, because it can be changed into a prime (23137403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746353 + ... + 746383.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 223137408 is an apocalyptic number.

23137408 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 23137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29376000).

23137408 is an abundant number, since it is smaller than the sum of its proper divisors (35614592).

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

23137408 is an equidigital number, since it uses as much as digits as its factorization.

23137408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 23137408 is about 4810.1359648143. The cubic root of 23137408 is about 284.9519073462.

The spelling of 23137408 in words is "twenty-three million, one hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 49 56 62 64 68 98 112 119 124 128 136 196 217 224 238 248 272 343 392 434 448 476 496 527 544 686 784 833 868 896 952 992 1054 1088 1372 1519 1568 1666 1736 1904 1984 2108 2176 2744 3038 3136 3332 3472 3689 3808 3968 4216 5488 5831 6076 6272 6664 6944 7378 7616 8432 10633 10976 11662 12152 13328 13888 14756 15232 16864 21266 21952 23324 24304 25823 26656 27776 29512 33728 42532 43904 46648 48608 51646 53312 59024 67456 85064 93296 97216 103292 106624 118048 170128 180761 186592 194432 206584 236096 340256 361522 373184 413168 472192 680512 723044 746368 826336 1361024 1446088 1652672 2892176 3305344 5784352 11568704 23137408