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40790520 = 23335179211
BaseRepresentation
bin1001101110011…
…0100111111000
32211202101002000
42123212213320
540420244040
64014141000
71003466541
oct233464770
984671060
1040790520
1121030581
12117b1760
1385b2604
1455bb4c8
1538ab130
hex26e69f8

40790520 has 128 divisors (see below), whose sum is σ = 137376000. Its totient is φ = 10765440.

The previous prime is 40790507. The next prime is 40790573. The reversal of 40790520 is 2509704.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 193215 + ... + 193425.

It is an arithmetic number, because the mean of its divisors is an integer number (1073250).

Almost surely, 240790520 is an apocalyptic number.

40790520 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 40790520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68688000).

40790520 is an abundant number, since it is smaller than the sum of its proper divisors (96585480).

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

40790520 is a wasteful number, since it uses less digits than its factorization.

40790520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 40790520 is about 6386.7456501727. The cubic root of 40790520 is about 344.2334587958.

The spelling of 40790520 in words is "forty million, seven hundred ninety thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 179 180 211 216 270 358 360 422 537 540 633 716 844 895 1055 1074 1080 1266 1432 1611 1688 1790 1899 2110 2148 2532 2685 3165 3222 3580 3798 4220 4296 4833 5064 5370 5697 6330 6444 7160 7596 8055 8440 9495 9666 10740 11394 12660 12888 15192 16110 18990 19332 21480 22788 24165 25320 28485 32220 37769 37980 38664 45576 48330 56970 64440 75538 75960 96660 113307 113940 151076 188845 193320 226614 227880 302152 339921 377690 453228 566535 679842 755380 906456 1019763 1133070 1359684 1510760 1699605 2039526 2266140 2719368 3399210 4079052 4532280 5098815 6798420 8158104 10197630 13596840 20395260 40790520