Search a number
-
+
30090888 = 23321812309
BaseRepresentation
bin111001011001…
…0011010001000
32002121202221100
41302302122020
530200402023
62552541400
7513524352
oct162623210
962552840
1030090888
1115a92803
12a0b1860
136307479
143dd40d2
152995c43
hex1cb2688

30090888 has 48 divisors (see below), whose sum is σ = 81981900. Its totient is φ = 9970560.

The previous prime is 30090847. The next prime is 30090899. The reversal of 30090888 is 88809003.

It can be written as a sum of positive squares in 2 ways, for example, as 29354724 + 736164 = 5418^2 + 858^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11878 + ... + 14186.

Almost surely, 230090888 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 30090888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40990950).

30090888 is an abundant number, since it is smaller than the sum of its proper divisors (51891012).

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

30090888 is a wasteful number, since it uses less digits than its factorization.

30090888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 30090888 is about 5485.5162017808. The cubic root of 30090888 is about 311.0367232959.

The spelling of 30090888 in words is "thirty million, ninety thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 2309 3258 4344 4618 6516 6927 9236 13032 13854 18472 20781 27708 41562 55416 83124 166248 417929 835858 1253787 1671716 2507574 3343432 3761361 5015148 7522722 10030296 15045444 30090888