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12313440 = 2532517503
BaseRepresentation
bin101110111110…
…001101100000
3212011120212100
4232332031200
511123012230
61115530400
7206443146
oct56761540
925146770
1012313440
116a502a7
124159a00
132721879
1418c7596
151133660
hexbbe360

12313440 has 144 divisors (see below), whose sum is σ = 44579808. Its totient is φ = 3084288.

The previous prime is 12313409. The next prime is 12313447. The reversal of 12313440 is 4431321.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313447) 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 23 ways as a sum of consecutive naturals, for example, 24229 + ... + 24731.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 212313440 is an apocalyptic number.

12313440 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 12313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289904).

12313440 is an abundant number, since it is smaller than the sum of its proper divisors (32266368).

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

12313440 is a wasteful number, since it uses less digits than its factorization.

12313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12313440 is about 3509.0511538021. The cubic root of 12313440 is about 230.9190698675.

Adding to 12313440 its reverse (4431321), we get a palindrome (16744761).

It can be divided in two parts, 1 and 2313440, that added together give a 4-th power (2313441 = 394).

The spelling of 12313440 in words is "twelve million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 503 510 544 612 680 720 765 816 1006 1020 1224 1360 1440 1509 1530 1632 2012 2040 2448 2515 2720 3018 3060 4024 4080 4527 4896 5030 6036 6120 7545 8048 8160 8551 9054 10060 12072 12240 15090 16096 17102 18108 20120 22635 24144 24480 25653 30180 34204 36216 40240 42755 45270 48288 51306 60360 68408 72432 76959 80480 85510 90540 102612 120720 128265 136816 144864 153918 171020 181080 205224 241440 256530 273632 307836 342040 362160 384795 410448 513060 615672 684080 724320 769590 820896 1026120 1231344 1368160 1539180 2052240 2462688 3078360 4104480 6156720 12313440