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23055840 = 25355593
BaseRepresentation
bin101011111110…
…0110111100000
31121101100200000
41113330313200
521400241330
62142100000
7366654123
oct127746740
947340600
1023055840
1112018215
12787a600
134a13312
1430c23ba
152056560
hex15fcde0

23055840 has 144 divisors (see below), whose sum is σ = 81729648. Its totient is φ = 6137856.

The previous prime is 23055827. The next prime is 23055881. The reversal of 23055840 is 4855032.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38584 + ... + 39176.

It is an arithmetic number, because the mean of its divisors is an integer number (567567).

Almost surely, 223055840 is an apocalyptic number.

23055840 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 23055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40864824).

23055840 is an abundant number, since it is smaller than the sum of its proper divisors (58673808).

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

23055840 is an equidigital number, since it uses as much as digits as its factorization.

23055840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 23055840 is about 4801.6497165037. The cubic root of 23055840 is about 284.6166591316.

The spelling of 23055840 in words is "twenty-three million, fifty-five thousand, eight hundred forty".

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 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 593 648 720 810 864 972 1080 1186 1215 1296 1440 1620 1779 1944 2160 2372 2430 2592 2965 3240 3558 3888 4320 4744 4860 5337 5930 6480 7116 7776 8895 9488 9720 10674 11860 12960 14232 16011 17790 18976 19440 21348 23720 26685 28464 32022 35580 38880 42696 47440 48033 53370 56928 64044 71160 80055 85392 94880 96066 106740 128088 142320 144099 160110 170784 192132 213480 240165 256176 284640 288198 320220 384264 426960 480330 512352 576396 640440 720495 768528 853920 960660 1152792 1280880 1440990 1537056 1921320 2305584 2561760 2881980 3842640 4611168 5763960 7685280 11527920 23055840