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20513232240 = 24351712234111
BaseRepresentation
bin10011000110101011…
…110001010101110000
31221221121021011112020
4103012223301111300
5314002341412430
613231301431440
71324223411544
oct230653612560
957847234466
1020513232240
118777203aa6
123b85a0b580
131c1bb13857
14dc8523a24
15800d49b10
hex4c6af1570

20513232240 has 160 divisors (see below), whose sum is σ = 67403114496. Its totient is φ = 5142958080.

The previous prime is 20513232191. The next prime is 20513232247. The reversal of 20513232240 is 4223231502.

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 20513232240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20513232247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4987785 + ... + 4991895.

Almost surely, 220513232240 is an apocalyptic number.

20513232240 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 20513232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33701557248).

20513232240 is an abundant number, since it is smaller than the sum of its proper divisors (46889882256).

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

20513232240 is a wasteful number, since it uses less digits than its factorization.

20513232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5361 counting only the distinct ones).

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

Adding to 20513232240 its reverse (4223231502), we get a palindrome (24736463742).

The spelling of 20513232240 in words is "twenty billion, five hundred thirteen million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1223 1360 2040 2446 3669 4080 4111 4892 6115 7338 8222 9784 12230 12333 14676 16444 18345 19568 20555 20791 24460 24666 29352 32888 36690 41110 41582 48920 49332 58704 61665 62373 65776 69887 73380 82220 83164 97840 98664 103955 123330 124746 139774 146760 164440 166328 197328 207910 209661 246660 249492 279548 293520 311865 328880 332656 349435 415820 419322 493320 498984 559096 623730 698870 831640 838644 986640 997968 1048305 1118192 1247460 1397740 1663280 1677288 2096610 2494920 2795480 3354576 4193220 4989840 5027753 5590960 8386440 10055506 15083259 16772880 20111012 25138765 30166518 40222024 50277530 60333036 75416295 80444048 85471801 100555060 120666072 150832590 170943602 201110120 241332144 256415403 301665180 341887204 402220240 427359005 512830806 603330360 683774408 854718010 1025661612 1206660720 1282077015 1367548816 1709436020 2051323224 2564154030 3418872040 4102646448 5128308060 6837744080 10256616120 20513232240