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5302111520 = 25553733853
BaseRepresentation
bin1001111000000011…
…11100110100100000
3111200111212011122202
410330001330310200
541324320032040
62234042352332
7245251130036
oct47401746440
914614764582
105302111520
1122809a3952
12103b7bb6a8
136666187c4
14384264556
15210731015
hex13c07cd20

5302111520 has 96 divisors (see below), whose sum is σ = 12794976432. Its totient is φ = 2075553792.

The previous prime is 5302111459. The next prime is 5302111541. The reversal of 5302111520 is 251112035.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3130178704 + 2171932816 = 55948^2 + 46604^2 .

It is a super-2 number, since 2×53021115202 = 56224773141033420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5302111492 and 5302111501.

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, 6215414 + ... + 6216266.

Almost surely, 25302111520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5302111520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397488216).

5302111520 is an abundant number, since it is smaller than the sum of its proper divisors (7492864912).

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

5302111520 is a wasteful number, since it uses less digits than its factorization.

5302111520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 5302111520 is about 72815.5994275952. The cubic root of 5302111520 is about 1743.7449091033.

Adding to 5302111520 its reverse (251112035), we get a palindrome (5553223555).

The spelling of 5302111520 in words is "five billion, three hundred two million, one hundred eleven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 733 848 853 1060 1466 1696 1706 2120 2932 3412 3665 4240 4265 5864 6824 7330 8480 8530 11728 13648 14660 17060 23456 27296 29320 34120 38849 45209 58640 68240 77698 90418 117280 136480 155396 180836 194245 226045 310792 361672 388490 452090 621584 625249 723344 776980 904180 1243168 1250498 1446688 1553960 1808360 2500996 3107920 3126245 3616720 5001992 6215840 6252490 7233440 10003984 12504980 20007968 25009960 33138197 50019920 66276394 100039840 132552788 165690985 265105576 331381970 530211152 662763940 1060422304 1325527880 2651055760 5302111520