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90605394 = 232111932371
BaseRepresentation
bin1010110011010…
…00011101010010
320022111020020100
411121220131102
5141143333034
612553553230
72150063445
oct531503522
9208436210
1090605394
11471651a0
1226415816
1315a04679
14c06765c
157e4b099
hex5668752

90605394 has 48 divisors (see below), whose sum is σ = 215358624. Its totient is φ = 27302400.

The previous prime is 90605377. The next prime is 90605399. The reversal of 90605394 is 49350609.

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 not an unprimeable number, because it can be changed into a prime (90605399) 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 23 ways as a sum of consecutive naturals, for example, 37029 + ... + 39399.

It is an arithmetic number, because the mean of its divisors is an integer number (4486638).

Almost surely, 290605394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90605394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107679312).

90605394 is an abundant number, since it is smaller than the sum of its proper divisors (124753230).

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

90605394 is a wasteful number, since it uses less digits than its factorization.

90605394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 90605394 is about 9518.6865690598. The cubic root of 90605394 is about 449.1430506012.

The spelling of 90605394 in words is "ninety million, six hundred five thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 193 198 386 579 1158 1737 2123 2371 3474 4246 4742 6369 7113 12738 14226 19107 21339 26081 38214 42678 52162 78243 156486 234729 457603 469458 915206 1372809 2745618 4118427 5033633 8236854 10067266 15100899 30201798 45302697 90605394