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12872304 = 243383359
BaseRepresentation
bin110001000110…
…101001110000
3220012222111000
4301012221300
511243403204
61135522000
7214261404
oct61065160
926188430
1012872304
1172a2175
124389300
132889063
1419d1104
1511e4039
hexc46a70

12872304 has 80 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4227264.

The previous prime is 12872303. The next prime is 12872311. The reversal of 12872304 is 40327821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12872303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35677 + ... + 36035.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 212872304 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 12872304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

12872304 is an abundant number, since it is smaller than the sum of its proper divisors (24625296).

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

12872304 is a wasteful number, since it uses less digits than its factorization.

12872304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12872304 is about 3587.7993254919. The cubic root of 12872304 is about 234.3610468493.

The spelling of 12872304 in words is "twelve million, eight hundred seventy-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 359 432 498 664 718 747 996 1077 1328 1436 1494 1992 2154 2241 2872 2988 3231 3984 4308 4482 5744 5976 6462 8616 8964 9693 11952 12924 17232 17928 19386 25848 29797 35856 38772 51696 59594 77544 89391 119188 155088 178782 238376 268173 357564 476752 536346 715128 804519 1072692 1430256 1609038 2145384 3218076 4290768 6436152 12872304