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20200004040 = 23354710135461
BaseRepresentation
bin10010110100000000…
…111001100111001000
31221010202212112012210
4102310000321213020
5312332200112130
613140232105120
71313401126026
oct226400714710
957122775183
1020200004040
118626415017
123ab8b351a0
131b9bc63a18
14d98aa9716
157d35c65b0
hex4b40399c8

20200004040 has 128 divisors (see below), whose sum is σ = 62503902720. Its totient is φ = 5219712000.

The previous prime is 20200004021. The next prime is 20200004047. The reversal of 20200004040 is 4040000202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (20200004047) 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, 551910 + ... + 587370.

It is an arithmetic number, because the mean of its divisors is an integer number (488311740).

Almost surely, 220200004040 is an apocalyptic number.

20200004040 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 20200004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31251951360).

20200004040 is an abundant number, since it is smaller than the sum of its proper divisors (42303898680).

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

20200004040 is a wasteful number, since it uses less digits than its factorization.

20200004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35623 (or 35619 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20200004040 its reverse (4040000202), we get a palindrome (24240004242).

The spelling of 20200004040 in words is "twenty billion, two hundred million, four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 101 120 141 188 202 235 282 303 376 404 470 505 564 606 705 808 940 1010 1128 1212 1410 1515 1880 2020 2424 2820 3030 4040 4747 5640 6060 9494 12120 14241 18988 23735 28482 35461 37976 47470 56964 70922 71205 94940 106383 113928 141844 142410 177305 189880 212766 283688 284820 354610 425532 531915 569640 709220 851064 1063830 1418440 1666667 2127660 3333334 3581561 4255320 5000001 6666668 7163122 8333335 10000002 10744683 13333336 14326244 16666670 17907805 20000004 21489366 25000005 28652488 33333340 35815610 40000008 42978732 50000010 53723415 66666680 71631220 85957464 100000020 107446830 143262440 168333367 200000040 214893660 336666734 429787320 505000101 673333468 841666835 1010000202 1346666936 1683333670 2020000404 2525000505 3366667340 4040000808 5050001010 6733334680 10100002020 20200004040