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5303136 = 253371493
BaseRepresentation
bin10100001110101101100000
3100222102112110
4110032231200
52324200021
6305355320
763035016
oct24165540
910872473
105303136
112aa2363
121938b40
131138a67
149c08b6
156eb476
hex50eb60

5303136 has 48 divisors (see below), whose sum is σ = 14306544. Its totient is φ = 1718784.

The previous prime is 5303131. The next prime is 5303141. The reversal of 5303136 is 6313035.

It is an interprime number because it is at equal distance from previous prime (5303131) and next prime (5303141).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5303131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2806 + ... + 4298.

It is an arithmetic number, because the mean of its divisors is an integer number (298053).

Almost surely, 25303136 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 5303136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153272).

5303136 is an abundant number, since it is smaller than the sum of its proper divisors (9003408).

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

5303136 is a wasteful number, since it uses less digits than its factorization.

5303136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 5303136 is about 2302.8538816000. The cubic root of 5303136 is about 174.3857211327.

The spelling of 5303136 in words is "five million, three hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1493 1776 2986 3552 4479 5972 8958 11944 17916 23888 35832 47776 55241 71664 110482 143328 165723 220964 331446 441928 662892 883856 1325784 1767712 2651568 5303136