Search a number
-
+
30915136 = 267151457
BaseRepresentation
bin111010111101…
…1101001000000
32011011122121001
41311323221000
530403241021
63022341344
7523526410
oct165735100
964148531
1030915136
11164a5aaa
12a42a854
1365356a5
14416a640
152aaa091
hex1d7ba40

30915136 has 56 divisors (see below), whose sum is σ = 70729856. Its totient is φ = 13132800.

The previous prime is 30915113. The next prime is 30915173. The reversal of 30915136 is 63151903.

30915136 = T293 + T294 + ... + T594.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 67420 + ... + 67876.

Almost surely, 230915136 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 30915136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35364928).

30915136 is an abundant number, since it is smaller than the sum of its proper divisors (39814720).

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

30915136 is a wasteful number, since it uses less digits than its factorization.

30915136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 30915136 is about 5560.1381277806. The cubic root of 30915136 is about 313.8511472110.

The spelling of 30915136 in words is "thirty million, nine hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 151 224 302 448 457 604 914 1057 1208 1828 2114 2416 3199 3656 4228 4832 6398 7312 8456 9664 12796 14624 16912 25592 29248 33824 51184 67648 69007 102368 138014 204736 276028 483049 552056 966098 1104112 1932196 2208224 3864392 4416448 7728784 15457568 30915136