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40680432 = 24321331701
BaseRepresentation
bin1001101100101…
…1101111110000
32211112210001200
42123023233300
540403233212
64011531200
71002530562
oct233135760
984483050
1040680432
1120a658a1
1211759b00
138574480
14558d332
1538886dc
hex26cbbf0

40680432 has 120 divisors (see below), whose sum is σ = 126741888. Its totient is φ = 12096000.

The previous prime is 40680421. The next prime is 40680449. The reversal of 40680432 is 23408604.

It is a junction number, because it is equal to n+sod(n) for n = 40680396 and 40680405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57682 + ... + 58382.

Almost surely, 240680432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40680432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944).

40680432 is an abundant number, since it is smaller than the sum of its proper divisors (86061456).

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

40680432 is a wasteful number, since it uses less digits than its factorization.

40680432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40680432 is about 6378.1213535021. The cubic root of 40680432 is about 343.9235002055.

The spelling of 40680432 in words is "forty million, six hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 701 744 806 936 1116 1209 1402 1488 1612 1872 2103 2232 2418 2804 3224 3627 4206 4464 4836 5608 6309 6448 7254 8412 9113 9672 11216 12618 14508 16824 18226 19344 21731 25236 27339 29016 33648 36452 43462 50472 54678 58032 65193 72904 82017 86924 100944 109356 130386 145808 164034 173848 195579 218712 260772 282503 328068 347696 391158 437424 521544 565006 656136 782316 847509 1043088 1130012 1312272 1564632 1695018 2260024 2542527 3129264 3390036 4520048 5085054 6780072 10170108 13560144 20340216 40680432