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1513031312 = 24132619173
BaseRepresentation
bin101101000101111…
…0000011010010000
310220110000221202202
41122023300122100
511044314000222
6410045302332
752331361002
oct13213603220
93813027682
101513031312
11707080901
123628649a8
131b1605800
14104d36372
158cc70892
hex5a2f0690

1513031312 has 60 divisors (see below), whose sum is σ = 3226734324. Its totient is φ = 686799360.

The previous prime is 1513031279. The next prime is 1513031327. The reversal of 1513031312 is 2131303151.

It can be written as a sum of positive squares in 6 ways, for example, as 1076889856 + 436141456 = 32816^2 + 20884^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160358 + ... + 169530.

Almost surely, 21513031312 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 1513031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613367162).

1513031312 is an abundant number, since it is smaller than the sum of its proper divisors (1713703012).

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

1513031312 is a wasteful number, since it uses less digits than its factorization.

1513031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9268 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 1513031312 is about 38897.7031712671. The cubic root of 1513031312 is about 1148.0196065561.

Adding to 1513031312 its reverse (2131303151), we get a palindrome (3644334463).

The spelling of 1513031312 in words is "one billion, five hundred thirteen million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 169 208 244 338 488 676 793 976 1352 1586 2704 3172 6344 9173 10309 12688 18346 20618 36692 41236 73384 82472 119249 146768 164944 238498 476996 559553 953992 1119106 1550237 1907984 2238212 3100474 4476424 6200948 7274189 8952848 12401896 14548378 24803792 29096756 58193512 94564457 116387024 189128914 378257828 756515656 1513031312