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2040736368 = 2431159109601
BaseRepresentation
bin111100110100011…
…0010101001110000
312021020000011000110
41321220302221300
513134412030433
6534300021320
7101366654466
oct17150625160
95236004013
102040736368
11957a40490
1248b531840
13266a3b118
14155060836
15be25c963
hex79a32a70

2040736368 has 160 divisors (see below), whose sum is σ = 5912121600. Its totient is φ = 601344000.

The previous prime is 2040736289. The next prime is 2040736391. The reversal of 2040736368 is 8636370402.

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, 3395268 + ... + 3395868.

It is an arithmetic number, because the mean of its divisors is an integer number (36950760).

Almost surely, 22040736368 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 2040736368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956060800).

2040736368 is an abundant number, since it is smaller than the sum of its proper divisors (3871385232).

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

2040736368 is a wasteful number, since it uses less digits than its factorization.

2040736368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2040736368 is about 45174.5101578313. The cubic root of 2040736368 is about 1268.4177223709.

The spelling of 2040736368 in words is "two billion, forty million, seven hundred thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 109 118 132 176 177 218 236 264 327 354 436 472 528 601 649 654 708 872 944 1199 1202 1298 1308 1416 1744 1803 1947 2398 2404 2596 2616 2832 3597 3606 3894 4796 4808 5192 5232 6431 6611 7194 7212 7788 9592 9616 10384 12862 13222 14388 14424 15576 19184 19293 19833 25724 26444 28776 28848 31152 35459 38586 39666 51448 52888 57552 65509 70741 70918 77172 79332 102896 105776 106377 131018 141482 141836 154344 158664 196527 212223 212754 262036 282964 283672 308688 317328 390049 393054 424446 425508 524072 565928 567344 720599 780098 786108 848892 851016 1048144 1131856 1170147 1441198 1560196 1572216 1697784 1702032 2161797 2340294 2882396 3120392 3144432 3395568 3865031 4323594 4680588 5764792 6240784 7730062 8647188 9361176 11529584 11595093 15460124 17294376 18722352 23190186 30920248 34588752 42515341 46380372 61840496 85030682 92760744 127546023 170061364 185521488 255092046 340122728 510184092 680245456 1020368184 2040736368