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12932040 = 23351197101
BaseRepresentation
bin110001010101…
…001111001000
3220100000102110
4301111033020
511302311130
61141102320
7214630512
oct61251710
926300373
1012932040
117333040
1243b79a0
1328aa2c4
141a08bb2
151206ab0
hexc553c8

12932040 has 128 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 3072000.

The previous prime is 12932021. The next prime is 12932041. The reversal of 12932040 is 4023921.

It is a junction number, because it is equal to n+sod(n) for n = 12931998 and 12932016.

It is not an unprimeable number, because it can be changed into a prime (12932041) 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, 127990 + ... + 128090.

It is an arithmetic number, because the mean of its divisors is an integer number (337365).

Almost surely, 212932040 is an apocalyptic number.

12932040 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 12932040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21591360).

12932040 is an abundant number, since it is smaller than the sum of its proper divisors (30250680).

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

12932040 is a wasteful number, since it uses less digits than its factorization.

12932040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12932040 is about 3596.1145699213. The cubic root of 12932040 is about 234.7230175595.

Adding to 12932040 its reverse (4023921), we get a palindrome (16955961).

It can be divided in two parts, 1293 and 2040, that added together give a palindrome (3333).

The spelling of 12932040 in words is "twelve million, nine hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 97 101 110 120 132 165 194 202 220 264 291 303 330 388 404 440 485 505 582 606 660 776 808 970 1010 1067 1111 1164 1212 1320 1455 1515 1940 2020 2134 2222 2328 2424 2910 3030 3201 3333 3880 4040 4268 4444 5335 5555 5820 6060 6402 6666 8536 8888 9797 10670 11110 11640 12120 12804 13332 16005 16665 19594 21340 22220 25608 26664 29391 32010 33330 39188 42680 44440 48985 58782 64020 66660 78376 97970 107767 117564 128040 133320 146955 195940 215534 235128 293910 323301 391880 431068 538835 587820 646602 862136 1077670 1175640 1293204 1616505 2155340 2586408 3233010 4310680 6466020 12932040