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23397120 = 28335677
BaseRepresentation
bin101100101000…
…0001100000000
31122000200211000
41121100030000
521442201440
62153252000
7402605115
oct131201400
948020730
1023397120
111223066a
127a04000
134b02766
14317090c
1520c2730
hex1650300

23397120 has 144 divisors (see below), whose sum is σ = 83149920. Its totient is φ = 6230016.

The previous prime is 23397109. The next prime is 23397131. The reversal of 23397120 is 2179332.

It is an interprime number because it is at equal distance from previous prime (23397109) and next prime (23397131).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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, 34222 + ... + 34898.

It is an arithmetic number, because the mean of its divisors is an integer number (577430).

Almost surely, 223397120 is an apocalyptic number.

23397120 is a gapful number since it is divisible by the number (20) 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 23397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41574960).

23397120 is an abundant number, since it is smaller than the sum of its proper divisors (59752800).

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

23397120 is an equidigital number, since it uses as much as digits as its factorization.

23397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 23397120 is about 4837.0569564561. The cubic root of 23397120 is about 286.0141157230.

The spelling of 23397120 in words is "twenty-three million, three hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 677 720 768 864 960 1080 1152 1280 1354 1440 1728 1920 2031 2160 2304 2708 2880 3385 3456 3840 4062 4320 5416 5760 6093 6770 6912 8124 8640 10155 10832 11520 12186 13540 16248 17280 18279 20310 21664 24372 27080 30465 32496 34560 36558 40620 43328 48744 54160 60930 64992 73116 81240 86656 91395 97488 108320 121860 129984 146232 162480 173312 182790 194976 216640 243720 259968 292464 324960 365580 389952 433280 487440 519936 584928 649920 731160 779904 866560 974880 1169856 1299840 1462320 1559808 1949760 2339712 2599680 2924640 3899520 4679424 5849280 7799040 11698560 23397120