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13240300400 = 24521711317231
BaseRepresentation
bin11000101010010111…
…01111001101110000
31021011201221221122022
430111023233031300
5204104004103100
610025453331012
7646051460615
oct142513571560
937151857568
1013240300400
115684893728
122696196a68
1313300c94a2
148d863c50c
155275bbe85
hex3152ef370

13240300400 has 120 divisors (see below), whose sum is σ = 33981021504. Its totient is φ = 4940185600.

The previous prime is 13240300399. The next prime is 13240300441. The reversal of 13240300400 is 400304231.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759785 + ... + 777015.

Almost surely, 213240300400 is an apocalyptic number.

13240300400 is a gapful number since it is divisible by the number (10) 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 13240300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990510752).

13240300400 is an abundant number, since it is smaller than the sum of its proper divisors (20740721104).

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

13240300400 is a wasteful number, since it uses less digits than its factorization.

13240300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17379 (or 17368 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 13240300400 its reverse (400304231), we get a palindrome (13640604631).

The spelling of 13240300400 in words is "thirteen billion, two hundred forty million, three hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 113 136 170 200 226 272 340 400 425 452 565 680 850 904 1130 1360 1700 1808 1921 2260 2825 3400 3842 4520 5650 6800 7684 9040 9605 11300 15368 17231 19210 22600 30736 34462 38420 45200 48025 68924 76840 86155 96050 137848 153680 172310 192100 275696 292927 344620 384200 430775 585854 689240 768400 861550 1171708 1378480 1464635 1723100 1947103 2343416 2929270 3446200 3894206 4686832 5858540 6892400 7323175 7788412 9735515 11717080 14646350 15576824 19471030 23434160 29292700 31153648 33100751 38942060 48677575 58585400 66201502 77884120 97355150 117170800 132403004 155768240 165503755 194710300 264806008 331007510 389420600 529612016 662015020 778841200 827518775 1324030040 1655037550 2648060080 3310075100 6620150200 13240300400