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12920040 = 2333571709
BaseRepresentation
bin110001010010…
…010011101000
3220022101222000
4301102103220
511301420130
61140531000
7214550520
oct61222350
926271860
1012920040
117325021
1243b0a60
1328a49c3
141a04680
151203260
hexc524e8

12920040 has 128 divisors (see below), whose sum is σ = 49248000. Its totient is φ = 2951424.

The previous prime is 12920023. The next prime is 12920071. The reversal of 12920040 is 4002921.

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 = 12919995 and 12920022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6706 + ... + 8414.

It is an arithmetic number, because the mean of its divisors is an integer number (384750).

Almost surely, 212920040 is an apocalyptic number.

12920040 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 12920040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24624000).

12920040 is an abundant number, since it is smaller than the sum of its proper divisors (36327960).

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

12920040 is a wasteful number, since it uses less digits than its factorization.

12920040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12920040 is about 3594.4457152668. The cubic root of 12920040 is about 234.6503930835.

Adding to 12920040 its reverse (4002921), we get a palindrome (16922961).

The spelling of 12920040 in words is "twelve million, nine hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1709 1890 2520 3418 3780 5127 6836 7560 8545 10254 11963 13672 15381 17090 20508 23926 25635 30762 34180 35889 41016 46143 47852 51270 59815 61524 68360 71778 76905 92286 95704 102540 107667 119630 123048 143556 153810 179445 184572 205080 215334 230715 239260 287112 307620 323001 358890 369144 430668 461430 478520 538335 615240 646002 717780 861336 922860 1076670 1292004 1435560 1615005 1845720 2153340 2584008 3230010 4306680 6460020 12920040