Search a number
-
+
90089934 = 231110712757
BaseRepresentation
bin1010101111010…
…10100111001110
320021112001011020
411113222213032
5141030334214
612534535010
72142515604
oct527524716
9207461136
1090089934
11469429a0
1226207466
1315883b6c
14bd71874
157d984a9
hex55ea9ce

90089934 has 32 divisors (see below), whose sum is σ = 198412416. Its totient is φ = 27042720.

The previous prime is 90089927. The next prime is 90089939. The reversal of 90089934 is 43998009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90089939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684 + ... + 13440.

It is an arithmetic number, because the mean of its divisors is an integer number (6200388).

Almost surely, 290089934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90089934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99206208).

90089934 is an abundant number, since it is smaller than the sum of its proper divisors (108322482).

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

90089934 is a wasteful number, since it uses less digits than its factorization.

90089934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12880.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 90089934 is about 9491.5717349657. The cubic root of 90089934 is about 448.2896955757.

The spelling of 90089934 in words is "ninety million, eighty-nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 107 214 321 642 1177 2354 3531 7062 12757 25514 38271 76542 140327 280654 420981 841962 1364999 2729998 4094997 8189994 15014989 30029978 45044967 90089934