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20200010040 = 233457890653
BaseRepresentation
bin10010110100000000…
…111011000100111000
31221010202212211110000
4102310000323010320
5312332200310130
613140232153000
71313401152360
oct226400730470
957122784400
1020200010040
118626419581
123ab8b38760
131b9bc66682
14d98aab9a0
157d35c8260
hex4b403b138

20200010040 has 160 divisors (see below), whose sum is σ = 77593776480. Its totient is φ = 4617139968.

The previous prime is 20200010027. The next prime is 20200010041. The reversal of 20200010040 is 4001000202.

It is a super-2 number, since 2×202000100402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200010041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 422647 + ... + 468006.

It is an arithmetic number, because the mean of its divisors is an integer number (484961103).

Almost surely, 220200010040 is an apocalyptic number.

20200010040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20200010040 is an abundant number, since it is smaller than the sum of its proper divisors (57393766440).

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

20200010040 is a wasteful number, since it uses less digits than its factorization.

20200010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890683 (or 890670 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20200010040 its reverse (4001000202), we get a palindrome (24201010242).

The spelling of 20200010040 in words is "twenty billion, two hundred million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 890653 1781306 2671959 3562612 4453265 5343918 6234571 7125224 8015877 8906530 10687836 12469142 13359795 16031754 17813060 18703713 21375672 24047631 24938284 26719590 31172855 32063508 35626120 37407426 40079385 48095262 49876568 53439180 56111139 62345710 64127016 72142893 74814852 80158770 93518565 96190524 106878360 112222278 120238155 124691420 144285786 149629704 160317540 168333417 187037130 192381048 224444556 240476310 249382840 280555695 288571572 320635080 336666834 360714465 374074260 448889112 480952620 505000251 561111390 577143144 673333668 721428930 748148520 841667085 961905240 1010000502 1122222780 1346667336 1442857860 1683334170 2020001004 2244445560 2525001255 2885715720 3366668340 4040002008 5050002510 6733336680 10100005020 20200010040