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12383140 = 22571121743
BaseRepresentation
bin101111001111…
…001110100100
3212022010110211
4233033032210
511132230030
61121225204
7210153310
oct57171644
925263424
1012383140
116a98700
124192204
132747503
141904b40
15114912a
hexbcf3a4

12383140 has 144 divisors (see below), whose sum is σ = 35392896. Its totient is φ = 3548160.

The previous prime is 12383113. The next prime is 12383149. The reversal of 12383140 is 4138321.

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

It is not an unprimeable number, because it can be changed into a prime (12383149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287959 + ... + 288001.

It is an arithmetic number, because the mean of its divisors is an integer number (245784).

Almost surely, 212383140 is an apocalyptic number.

12383140 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 12383140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696448).

12383140 is an abundant number, since it is smaller than the sum of its proper divisors (23009756).

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

12383140 is a wasteful number, since it uses less digits than its factorization.

12383140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

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

The square root of 12383140 is about 3518.9685988937. The cubic root of 12383140 is about 231.3539547227.

The spelling of 12383140 in words is "twelve million, three hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 43 44 55 68 70 77 85 86 110 119 121 140 154 170 172 187 215 220 238 242 301 308 340 374 385 430 473 476 484 595 602 605 731 748 770 847 860 935 946 1190 1204 1210 1309 1462 1505 1540 1694 1870 1892 2057 2365 2380 2420 2618 2924 3010 3311 3388 3655 3740 4114 4235 4730 5117 5203 5236 6020 6545 6622 7310 8041 8228 8470 9460 10234 10285 10406 13090 13244 14399 14620 16082 16555 16940 20468 20570 20812 25585 26015 26180 28798 32164 33110 36421 40205 41140 51170 52030 56287 57596 66220 71995 72842 80410 88451 102340 104060 112574 143990 145684 160820 176902 182105 225148 281435 287980 353804 364210 442255 562870 619157 728420 884510 1125740 1238314 1769020 2476628 3095785 6191570 12383140