Search a number
-
+
30536900 = 2252305369
BaseRepresentation
bin111010001111…
…1010011000100
32010110102202022
41310133103010
530304140100
63010302312
7520362602
oct164372304
963412668
1030536900
1116267909
12a287998
136432494
1440ac872
152a32e85
hex1d1f4c4

30536900 has 18 divisors (see below), whose sum is σ = 66265290. Its totient is φ = 12214720.

The previous prime is 30536867. The next prime is 30536903. The reversal of 30536900 is 963503.

It can be written as a sum of positive squares in 3 ways, for example, as 2637376 + 27899524 = 1624^2 + 5282^2 .

It is a super-2 number, since 2×305369002 = 1865004523220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30536900.

It is not an unprimeable number, because it can be changed into a prime (30536903) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 152585 + ... + 152784.

It is an arithmetic number, because the mean of its divisors is an integer number (3681405).

Almost surely, 230536900 is an apocalyptic number.

It is an amenable number.

30536900 is an abundant number, since it is smaller than the sum of its proper divisors (35728390).

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

30536900 is a wasteful number, since it uses less digits than its factorization.

30536900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305383 (or 305376 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 30536900 is about 5526.0202677877. The cubic root of 30536900 is about 312.5659380860.

The spelling of 30536900 in words is "thirty million, five hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 305369 610738 1221476 1526845 3053690 6107380 7634225 15268450 30536900