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12313400 = 23521129193
BaseRepresentation
bin101110111110…
…001100111000
3212011120210212
4232332030320
511123012100
61115530252
7206443061
oct56761470
925146725
1012313400
116a50270
124159988
132721848
1418c7568
151133635
hexbbe338

12313400 has 96 divisors (see below), whose sum is σ = 32475600. Its totient is φ = 4300800.

The previous prime is 12313393. The next prime is 12313409. The reversal of 12313400 is 431321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63704 + ... + 63896.

Almost surely, 212313400 is an apocalyptic number.

12313400 is a gapful number since it is divisible by the number (10) 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 12313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16237800).

12313400 is an abundant number, since it is smaller than the sum of its proper divisors (20162200).

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

12313400 is a wasteful number, since it uses less digits than its factorization.

12313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 12313400 is about 3509.0454542511. The cubic root of 12313400 is about 230.9188198217.

Adding to 12313400 its reverse (431321), we get a palindrome (12744721).

The spelling of 12313400 in words is "twelve million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 145 193 200 220 232 275 290 319 386 440 550 580 638 725 772 965 1100 1160 1276 1450 1544 1595 1930 2123 2200 2552 2900 3190 3860 4246 4825 5597 5800 6380 7720 7975 8492 9650 10615 11194 12760 15950 16984 19300 21230 22388 27985 31900 38600 42460 44776 53075 55970 61567 63800 84920 106150 111940 123134 139925 212300 223880 246268 279850 307835 424600 492536 559700 615670 1119400 1231340 1539175 2462680 3078350 6156700 12313400