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12313840 = 2457111999
BaseRepresentation
bin101110111110…
…010011110000
3212011121102011
4232332103300
511123020330
61115532304
7206444260
oct56762360
925147364
1012313840
116a50630
12415a094
132721ac6
1418c77a0
15113382a
hexbbe4f0

12313840 has 80 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 3836160.

The previous prime is 12313813. The next prime is 12313877. The reversal of 12313840 is 4831321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 5161 + ... + 7159.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 212313840 is an apocalyptic number.

12313840 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 12313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

12313840 is an abundant number, since it is smaller than the sum of its proper divisors (23398160).

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

12313840 is a wasteful number, since it uses less digits than its factorization.

12313840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12313840 is about 3509.1081488036. The cubic root of 12313840 is about 230.9215702960.

The spelling of 12313840 in words is "twelve million, three hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 1999 3080 3998 6160 7996 9995 13993 15992 19990 21989 27986 31984 39980 43978 55972 69965 79960 87956 109945 111944 139930 153923 159920 175912 219890 223888 279860 307846 351824 439780 559720 615692 769615 879560 1119440 1231384 1539230 1759120 2462768 3078460 6156920 12313840