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12313620 = 2234511691
BaseRepresentation
bin101110111110…
…010000010100
3212011121010000
4232332100110
511123013440
61115531300
7206443524
oct56762024
925147100
1012313620
116a50450
124159b30
132721987
1418c7684
151133730
hexbbe414

12313620 has 120 divisors (see below), whose sum is σ = 42200928. Its totient is φ = 2980800.

The previous prime is 12313619. The next prime is 12313633. The reversal of 12313620 is 2631321.

12313620 is a `hidden beast` number, since 12 + 31 + 3 + 620 = 666.

12313620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12313593 and 12313602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17475 + ... + 18165.

Almost surely, 212313620 is an apocalyptic number.

12313620 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 12313620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21100464).

12313620 is an abundant number, since it is smaller than the sum of its proper divisors (29887308).

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

12313620 is a wasteful number, since it uses less digits than its factorization.

12313620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 12313620 is about 3509.0768016674. The cubic root of 12313620 is about 230.9201950670.

Adding to 12313620 its reverse (2631321), we get a palindrome (14944941).

It can be divided in two parts, 1231 and 3620, that added together give a triangular number (4851 = T98).

The spelling of 12313620 in words is "twelve million, three hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 691 810 891 990 1188 1382 1485 1620 1782 1980 2073 2764 2970 3455 3564 4146 4455 5940 6219 6910 7601 8292 8910 10365 12438 13820 15202 17820 18657 20730 22803 24876 30404 31095 37314 38005 41460 45606 55971 62190 68409 74628 76010 91212 93285 111942 114015 124380 136818 152020 186570 205227 223884 228030 273636 279855 342045 373140 410454 456060 559710 615681 684090 820908 1026135 1119420 1231362 1368180 2052270 2462724 3078405 4104540 6156810 12313620