Search a number
-
+
90234468 = 22324371821
BaseRepresentation
bin1010110000011…
…01111001100100
320021210101102100
411120031321210
5141100000333
612542012100
72143660152
oct530157144
9207711370
1090234468
1146a31545
1226277030
131590489c
14bdac3d2
157dc6213
hex560de64

90234468 has 72 divisors (see below), whose sum is σ = 236972736. Its totient is φ = 28929600.

The previous prime is 90234467. The next prime is 90234479. The reversal of 90234468 is 86443209.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90234467) 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, 109498 + ... + 110318.

It is an arithmetic number, because the mean of its divisors is an integer number (3291288).

Almost surely, 290234468 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 90234468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118486368).

90234468 is an abundant number, since it is smaller than the sum of its proper divisors (146738268).

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

90234468 is a wasteful number, since it uses less digits than its factorization.

90234468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 90234468 is about 9499.1824911410. The cubic root of 90234468 is about 448.5293023811.

The spelling of 90234468 in words is "ninety million, two hundred thirty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 71 86 129 142 172 213 258 284 387 426 516 639 774 821 852 1278 1548 1642 2463 2556 3053 3284 4926 6106 7389 9159 9852 12212 14778 18318 27477 29556 35303 36636 54954 58291 70606 105909 109908 116582 141212 174873 211818 233164 317727 349746 423636 524619 635454 699492 1049238 1270908 2098476 2506513 5013026 7519539 10026052 15039078 22558617 30078156 45117234 90234468