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23148768 = 253596167
BaseRepresentation
bin101100001001…
…1100011100000
31121120002010210
41120103203200
521411230033
62144054120
7400522056
oct130234340
947502123
1023148768
1112081015
127904340
134a466c6
1431081d6
152073d63
hex16138e0

23148768 has 96 divisors (see below), whose sum is σ = 63745920. Its totient is φ = 7349760.

The previous prime is 23148751. The next prime is 23148793. The reversal of 23148768 is 86784132.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (64512) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345471 + ... + 345537.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 223148768 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 23148768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960).

23148768 is an abundant number, since it is smaller than the sum of its proper divisors (40597152).

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

23148768 is a wasteful number, since it uses less digits than its factorization.

23148768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 23148768 is about 4811.3166597097. The cubic root of 23148768 is about 284.9985349263.

The spelling of 23148768 in words is "twenty-three million, one hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 61 67 96 118 122 134 177 183 201 236 244 268 354 366 402 472 488 536 708 732 804 944 976 1072 1416 1464 1608 1888 1952 2144 2832 2928 3216 3599 3953 4087 5664 5856 6432 7198 7906 8174 10797 11859 12261 14396 15812 16348 21594 23718 24522 28792 31624 32696 43188 47436 49044 57584 63248 65392 86376 94872 98088 115168 126496 130784 172752 189744 196176 241133 345504 379488 392352 482266 723399 964532 1446798 1929064 2893596 3858128 5787192 7716256 11574384 23148768