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23054976 = 27337953
BaseRepresentation
bin101011111110…
…0101010000000
31121101022111000
41113330222000
521400224401
62142052000
7366651450
oct127745200
947338430
1023054976
11120175aa
12787a000
134a12ac9
1430c1d60
152056186
hex15fca80

23054976 has 128 divisors (see below), whose sum is σ = 77846400. Its totient is φ = 6580224.

The previous prime is 23054951. The next prime is 23055013. The reversal of 23054976 is 67945032.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23054976.

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, 23716 + ... + 24668.

It is an arithmetic number, because the mean of its divisors is an integer number (608175).

Almost surely, 223054976 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 23054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38923200).

23054976 is an abundant number, since it is smaller than the sum of its proper divisors (54791424).

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

23054976 is an equidigital number, since it uses as much as digits as its factorization.

23054976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 23054976 is about 4801.5597465824. The cubic root of 23054976 is about 284.6131038232.

The spelling of 23054976 in words is "twenty-three million, fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 953 1008 1152 1344 1512 1728 1906 2016 2688 2859 3024 3456 3812 4032 5718 6048 6671 7624 8064 8577 11436 12096 13342 15248 17154 20013 22872 24192 25731 26684 30496 34308 40026 45744 51462 53368 60039 60992 68616 80052 91488 102924 106736 120078 121984 137232 160104 180117 182976 205848 213472 240156 274464 320208 360234 365952 411696 426944 480312 548928 640416 720468 823392 853888 960624 1097856 1280832 1440936 1646784 1921248 2561664 2881872 3293568 3842496 5763744 7684992 11527488 23054976