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90555156 = 223210972293
BaseRepresentation
bin1010110010111…
…00001100010100
320022101200022200
411121130030110
5141140231111
612552524500
72146464126
oct531341424
9208350280
1090555156
114713047a
12263b0730
13159b7843
14c053216
157e3b256
hex565c314

90555156 has 36 divisors (see below), whose sum is σ = 229211892. Its totient is φ = 30144384.

The previous prime is 90555151. The next prime is 90555161. The reversal of 90555156 is 65155509.

90555156 is a `hidden beast` number, since 90 + 55 + 515 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (90555151) and next prime (90555161).

It can be written as a sum of positive squares in 2 ways, for example, as 26010000 + 64545156 = 5100^2 + 8034^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 90555156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90555151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38346 + ... + 40638.

It is an arithmetic number, because the mean of its divisors is an integer number (6366997).

Almost surely, 290555156 is an apocalyptic number.

It is an amenable number.

90555156 is an abundant number, since it is smaller than the sum of its proper divisors (138656736).

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

90555156 is a wasteful number, since it uses less digits than its factorization.

90555156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The square root of 90555156 is about 9516.0472886593. The cubic root of 90555156 is about 449.0600230932.

The spelling of 90555156 in words is "ninety million, five hundred fifty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1097 2194 2293 3291 4388 4586 6582 6879 9172 9873 13164 13758 19746 20637 27516 39492 41274 82548 2515421 5030842 7546263 10061684 15092526 22638789 30185052 45277578 90555156