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12140040 = 23351117541
BaseRepresentation
bin101110010011…
…111000001000
3211211210000010
4232103320020
511101440130
61112111520
7205121463
oct56237010
924753003
1012140040
116941aa0
1240955a0
132690973
1418802da
1510ec0b0
hexb93e08

12140040 has 128 divisors (see below), whose sum is σ = 42145920. Its totient is φ = 2764800.

The previous prime is 12140039. The next prime is 12140047. The reversal of 12140040 is 4004121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12139998 and 12140025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22170 + ... + 22710.

It is an arithmetic number, because the mean of its divisors is an integer number (329265).

Almost surely, 212140040 is an apocalyptic number.

12140040 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 12140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21072960).

12140040 is an abundant number, since it is smaller than the sum of its proper divisors (30005880).

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

12140040 is a wasteful number, since it uses less digits than its factorization.

12140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12140040 is about 3484.2560181479. The cubic root of 12140040 is about 229.8299940928.

Adding to 12140040 its reverse (4004121), we get a palindrome (16144161).

The spelling of 12140040 in words is "twelve million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 541 561 660 680 748 935 1020 1082 1122 1320 1496 1623 1870 2040 2164 2244 2705 2805 3246 3740 4328 4488 5410 5610 5951 6492 7480 8115 9197 10820 11220 11902 12984 16230 17853 18394 21640 22440 23804 27591 29755 32460 35706 36788 45985 47608 55182 59510 64920 71412 73576 89265 91970 101167 110364 119020 137955 142824 178530 183940 202334 220728 238040 275910 303501 357060 367880 404668 505835 551820 607002 714120 809336 1011670 1103640 1214004 1517505 2023340 2428008 3035010 4046680 6070020 12140040