Search a number
-
+
5310035136 = 26337317231
BaseRepresentation
bin1001111001000000…
…01011010011000000
3111201001202201211000
410330200023103000
541333332111021
62234524252000
7245405361000
oct47440132300
914631681730
105310035136
112285415a9a
1210423a1000
13668161233
14385328000
15211298b26
hex13c80b4c0

5310035136 has 672 divisors, whose sum is σ = 19962368000. Its totient is φ = 1381847040.

The previous prime is 5310035113. The next prime is 5310035149. The reversal of 5310035136 is 6315300135.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171291441 + ... + 171291471.

Almost surely, 25310035136 is an apocalyptic number.

5310035136 is a gapful number since it is divisible by the number (56) 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 5310035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9981184000).

5310035136 is an abundant number, since it is smaller than the sum of its proper divisors (14652332864).

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

5310035136 is a wasteful number, since it uses less digits than its factorization.

5310035136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 5310035136 is about 72869.9878962526. The cubic root of 5310035136 is about 1744.6131096309.

The spelling of 5310035136 in words is "five billion, three hundred ten million, thirty-five thousand, one hundred thirty-six".