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40968720 = 24335131459
BaseRepresentation
bin1001110001001…
…0001000010000
32212002102112000
42130102020100
540441444340
64022034000
71005141222
oct234221020
985072460
1040968720
1121142451
1211878900
138645760
145626412
1538e3d30
hex2712210

40968720 has 160 divisors (see below), whose sum is σ = 152073600. Its totient is φ = 10077696.

The previous prime is 40968713. The next prime is 40968743. The reversal of 40968720 is 2786904.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27351 + ... + 28809.

It is an arithmetic number, because the mean of its divisors is an integer number (950460).

Almost surely, 240968720 is an apocalyptic number.

40968720 is a gapful number since it is divisible by the number (40) 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 40968720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76036800).

40968720 is an abundant number, since it is smaller than the sum of its proper divisors (111104880).

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

40968720 is a wasteful number, since it uses less digits than its factorization.

40968720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 40968720 is about 6400.6812137459. The cubic root of 40968720 is about 344.7340104800.

The spelling of 40968720 in words is "forty million, nine hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1459 1560 1755 1872 2160 2340 2808 2918 3120 3510 4377 4680 5616 5836 7020 7295 8754 9360 11672 13131 14040 14590 17508 18967 21885 23344 26262 28080 29180 35016 37934 39393 43770 52524 56901 58360 65655 70032 75868 78786 87540 94835 105048 113802 116720 131310 151736 157572 170703 175080 189670 196965 210096 227604 262620 284505 303472 315144 341406 350160 379340 393930 455208 512109 525240 569010 630288 682812 758680 787860 853515 910416 1024218 1050480 1138020 1365624 1517360 1575720 1707030 2048436 2276040 2560545 2731248 3151440 3414060 4096872 4552080 5121090 6828120 8193744 10242180 13656240 20484360 40968720