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12313140 = 22357191543
BaseRepresentation
bin101110111110…
…001000110100
3212011120110020
4232332020310
511123010030
61115525140
7206442240
oct56761064
925146406
1012313140
116a50054
1241597b0
1327216a8
1418c7420
151133510
hexbbe234

12313140 has 96 divisors (see below), whose sum is σ = 41502720. Its totient is φ = 2664576.

The previous prime is 12313111. The next prime is 12313141. The reversal of 12313140 is 4131321.

12313140 = 542 + 552 + ... + 3332.

It is a super-2 number, since 2×123131402 = 303226833319200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7209 + ... + 8751.

It is an arithmetic number, because the mean of its divisors is an integer number (432320).

Almost surely, 212313140 is an apocalyptic number.

12313140 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 12313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20751360).

12313140 is an abundant number, since it is smaller than the sum of its proper divisors (29189580).

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

12313140 is a wasteful number, since it uses less digits than its factorization.

12313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 12313140 is about 3509.0084069435. The cubic root of 12313140 is about 230.9171945106.

Adding to 12313140 its reverse (4131321), we get a palindrome (16444461).

It can be divided in two parts, 1231 and 3140, that added together give a triangular number (4371 = T93).

The spelling of 12313140 in words is "twelve million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1543 1596 1995 2660 3086 3990 4629 6172 7715 7980 9258 10801 15430 18516 21602 23145 29317 30860 32403 43204 46290 54005 58634 64806 87951 92580 108010 117268 129612 146585 162015 175902 205219 216020 293170 324030 351804 410438 439755 586340 615657 648060 820876 879510 1026095 1231314 1759020 2052190 2462628 3078285 4104380 6156570 12313140