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20005331640 = 23357151157721
BaseRepresentation
bin10010101000011010…
…010010001010111000
31220122012120010212220
4102220122102022320
5311432331103030
613105035404040
71305515341020
oct225032221270
956565503786
1020005331640
118536540838
123a638b3620
131b6a823658
14d7acb2a80
157c1470a10
hex4a86922b8

20005331640 has 128 divisors (see below), whose sum is σ = 69044382720. Its totient is φ = 4542336000.

The previous prime is 20005331639. The next prime is 20005331641. The reversal of 20005331640 is 4613350002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20005331639) and next prime (20005331641).

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 20005331640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005331641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47980 + ... + 205700.

It is an arithmetic number, because the mean of its divisors is an integer number (539409240).

Almost surely, 220005331640 is an apocalyptic number.

20005331640 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 20005331640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34522191360).

20005331640 is an abundant number, since it is smaller than the sum of its proper divisors (49039051080).

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

20005331640 is a wasteful number, since it uses less digits than its factorization.

20005331640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157893 (or 157889 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 20005331640 its reverse (4613350002), we get a palindrome (24618681642).

The spelling of 20005331640 in words is "twenty billion, five million, three hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 151 168 210 280 302 420 453 604 755 840 906 1057 1208 1510 1812 2114 2265 3020 3171 3624 4228 4530 5285 6040 6342 8456 9060 10570 12684 15855 18120 21140 25368 31710 42280 63420 126840 157721 315442 473163 630884 788605 946326 1104047 1261768 1577210 1892652 2208094 2365815 3154420 3312141 3785304 4416188 4731630 5520235 6308840 6624282 8832376 9463260 11040470 13248564 16560705 18926520 22080940 23815871 26497128 33121410 44161880 47631742 66242820 71447613 95263484 119079355 132485640 142895226 166711097 190526968 238158710 285790452 333422194 357238065 476317420 500133291 571580904 666844388 714476130 833555485 952634840 1000266582 1333688776 1428952260 1667110970 2000533164 2500666455 2857904520 3334221940 4001066328 5001332910 6668443880 10002665820 20005331640