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90106324 = 227111717209
BaseRepresentation
bin1010101111011…
…10100111010100
320021112212122021
411113232213110
5141031400244
612535142524
72142614440
oct527564724
9207485567
1090106324
1146954240
1226214a44
131588b469
14bd77820
157d9d284
hex55ee9d4

90106324 has 48 divisors (see below), whose sum is σ = 208172160. Its totient is φ = 33039360.

The previous prime is 90106321. The next prime is 90106327. The reversal of 90106324 is 42360109.

It is an interprime number because it is at equal distance from previous prime (90106321) and next prime (90106327).

It is a super-4 number, since 4×901063244 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90106321) 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, 3369 + ... + 13840.

It is an arithmetic number, because the mean of its divisors is an integer number (4336920).

Almost surely, 290106324 is an apocalyptic number.

It is an amenable number.

90106324 is an abundant number, since it is smaller than the sum of its proper divisors (118065836).

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

90106324 is a wasteful number, since it uses less digits than its factorization.

90106324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17248 (or 17246 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 90106324 is about 9492.4350932730. The cubic root of 90106324 is about 448.3168796063.

The spelling of 90106324 in words is "ninety million, one hundred six thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2618 5236 17209 34418 68836 120463 189299 240926 292553 378598 481852 585106 757196 1170212 1325093 2047871 2650186 3218083 4095742 5300372 6436166 8191484 12872332 22526581 45053162 90106324