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20404241520 = 2435139676763
BaseRepresentation
bin10011000000001100…
…000000010001110000
31221200000011212100220
4103000030000101300
5313241441212040
613212405413040
71321431122415
oct230014002160
957600155326
1020404241520
118720731723
123b5540a180
131c023729c0
14db7c7210c
157e64bb2d0
hex4c0300470

20404241520 has 160 divisors (see below), whose sum is σ = 68199301632. Its totient is φ = 5016646656.

The previous prime is 20404241497. The next prime is 20404241521. The reversal of 20404241520 is 2514240402.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20404241521) 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, 3013659 + ... + 3020421.

Almost surely, 220404241520 is an apocalyptic number.

20404241520 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 20404241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34099650816).

20404241520 is an abundant number, since it is smaller than the sum of its proper divisors (47795060112).

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

20404241520 is a wasteful number, since it uses less digits than its factorization.

20404241520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 20404241520 its reverse (2514240402), we get a palindrome (22918481922).

The spelling of 20404241520 in words is "twenty billion, four hundred four million, two hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 967 1040 1560 1934 2901 3120 3868 4835 5802 6763 7736 9670 11604 12571 13526 14505 15472 19340 20289 23208 25142 27052 29010 33815 37713 38680 40578 46416 50284 54104 58020 62855 67630 75426 77360 81156 87919 100568 101445 108208 116040 125710 135260 150852 162312 175838 188565 201136 202890 232080 251420 263757 270520 301704 324624 351676 377130 405780 439595 502840 527514 541040 603408 703352 754260 811560 879190 1005680 1055028 1318785 1406704 1508520 1623120 1758380 2110056 2637570 3017040 3516760 4220112 5275140 6539821 7033520 10550280 13079642 19619463 21100560 26159284 32699105 39238926 52318568 65398210 78477852 85017673 98097315 104637136 130796420 156955704 170035346 196194630 255053019 261592840 313911408 340070692 392389260 425088365 510106038 523185680 680141384 784778520 850176730 1020212076 1275265095 1360282768 1569557040 1700353460 2040424152 2550530190 3400706920 4080848304 5101060380 6801413840 10202120760 20404241520