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12315952 = 24111929127
BaseRepresentation
bin101110111110…
…110100110000
3212011201022101
4232332310300
511123102302
61115550144
7206453365
oct56766460
925151271
1012315952
116a52180
12415b354
132722a5c
1418c846c
151134287
hexbbed30

12315952 has 80 divisors (see below), whose sum is σ = 28569600. Its totient is φ = 5080320.

The previous prime is 12315943. The next prime is 12315967. The reversal of 12315952 is 25951321.

It is a self number, because there is not a number n which added to its sum of digits gives 12315952.

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, 96913 + ... + 97039.

It is an arithmetic number, because the mean of its divisors is an integer number (357120).

Almost surely, 212315952 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 12315952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284800).

12315952 is an abundant number, since it is smaller than the sum of its proper divisors (16253648).

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

12315952 is a wasteful number, since it uses less digits than its factorization.

12315952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its digits is 2700, while the sum is 28.

The square root of 12315952 is about 3509.4090670653. The cubic root of 12315952 is about 230.9347716606.

The spelling of 12315952 in words is "twelve million, three hundred fifteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 29 38 44 58 76 88 116 127 152 176 209 232 254 304 319 418 464 508 551 638 836 1016 1102 1276 1397 1672 2032 2204 2413 2552 2794 3344 3683 4408 4826 5104 5588 6061 7366 8816 9652 11176 12122 14732 19304 22352 24244 26543 29464 38608 40513 48488 53086 58928 69977 81026 96976 106172 139954 162052 212344 279908 324104 424688 559816 648208 769747 1119632 1539494 3078988 6157976 12315952