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20041533240 = 23351715436367
BaseRepresentation
bin10010101010100100…
…011000011100111000
31220201201200101010220
4102222210120130320
5312021113030430
613112411340040
71306435136031
oct225244303470
956651611126
1020041533240
118554a17613
123a73a51620
131b7518a311
14d81a17a88
157c4722110
hex4aa918738

20041533240 has 128 divisors (see below), whose sum is σ = 63712604160. Its totient is φ = 5025982464.

The previous prime is 20041533233. The next prime is 20041533269. The reversal of 20041533240 is 4233514002.

It is a super-2 number, since 2×200415332402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20041533240.

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, 3144537 + ... + 3150903.

It is an arithmetic number, because the mean of its divisors is an integer number (497754720).

Almost surely, 220041533240 is an apocalyptic number.

20041533240 is a gapful number since it is divisible by the number (20) 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 20041533240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31856302080).

20041533240 is an abundant number, since it is smaller than the sum of its proper divisors (43671070920).

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

20041533240 is a wasteful number, since it uses less digits than its factorization.

20041533240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7941 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 20041533240 in words is "twenty billion, forty-one million, five hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1543 2040 3086 4629 6172 6367 7715 9258 12344 12734 15430 18516 19101 23145 25468 26231 30860 31835 37032 38202 46290 50936 52462 61720 63670 76404 78693 92580 95505 104924 108239 127340 131155 152808 157386 185160 191010 209848 216478 254680 262310 314772 324717 382020 393465 432956 524620 541195 629544 649434 764040 786930 865912 1049240 1082390 1298868 1573860 1623585 2164780 2597736 3147720 3247170 4329560 6494340 9824281 12988680 19648562 29472843 39297124 49121405 58945686 78594248 98242810 117891372 147364215 167012777 196485620 235782744 294728430 334025554 392971240 501038331 589456860 668051108 835063885 1002076662 1178913720 1336102216 1670127770 2004153324 2505191655 3340255540 4008306648 5010383310 6680511080 10020766620 20041533240