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15204430240 = 2551131734861
BaseRepresentation
bin11100010100100000…
…10011000110100000
31110020121211002020221
432022100103012200
5222114313231430
610552415412424
71045531344646
oct161220230640
943217732227
1015204430240
1164a256052a
122b43b24114
131583cc49ac
14a4343b196
155dec4657a
hex38a4131a0

15204430240 has 96 divisors (see below), whose sum is σ = 36455314896. Its totient is φ = 5991874560.

The previous prime is 15204430217. The next prime is 15204430303. The reversal of 15204430240 is 4203440251.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8989315344 + 6215114896 = 94812^2 + 78836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3125410 + ... + 3130270.

Almost surely, 215204430240 is an apocalyptic number.

15204430240 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 15204430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18227657448).

15204430240 is an abundant number, since it is smaller than the sum of its proper divisors (21250884656).

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

15204430240 is a wasteful number, since it uses less digits than its factorization.

15204430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 15204430240 its reverse (4203440251), we get a palindrome (19407870491).

The spelling of 15204430240 in words is "fifteen billion, two hundred four million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 173 226 346 452 565 692 865 904 1130 1384 1730 1808 2260 2768 3460 3616 4520 4861 5536 6920 9040 9722 13840 18080 19444 19549 24305 27680 38888 39098 48610 77776 78196 97220 97745 155552 156392 194440 195490 312784 388880 390980 549293 625568 777760 781960 840953 1098586 1563920 1681906 2197172 2746465 3127840 3363812 4204765 4394344 5492930 6727624 8409530 8788688 10985860 13455248 16819060 17577376 21971720 26910496 33638120 43943440 67276240 87886880 95027689 134552480 190055378 380110756 475138445 760221512 950276890 1520443024 1900553780 3040886048 3801107560 7602215120 15204430240