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90845136 = 2432761829
BaseRepresentation
bin1010110101000…
…10111111010000
320022221102002200
411122202333100
5141224021021
613003043200
72152112424
oct532427720
9208842080
1090845136
1147309328
1226510500
1315a89825
14c0cab84
157e97126
hex56a2fd0

90845136 has 60 divisors (see below), whose sum is σ = 254881380. Its totient is φ = 30205440.

The previous prime is 90845129. The next prime is 90845141. The reversal of 90845136 is 63154809.

It can be written as a sum of positive squares in 2 ways, for example, as 17640000 + 73205136 = 4200^2 + 8556^2 .

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 90845136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109170 + ... + 109998.

It is an arithmetic number, because the mean of its divisors is an integer number (4248023).

Almost surely, 290845136 is an apocalyptic number.

It is an amenable number.

90845136 is an abundant number, since it is smaller than the sum of its proper divisors (164036244).

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

90845136 is a wasteful number, since it uses less digits than its factorization.

90845136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 90845136 is about 9531.2714786643. The cubic root of 90845136 is about 449.5388460957.

The spelling of 90845136 in words is "ninety million, eight hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 761 829 1522 1658 2283 2487 3044 3316 4566 4974 6088 6632 6849 7461 9132 9948 12176 13264 13698 14922 18264 19896 27396 29844 36528 39792 54792 59688 109584 119376 630869 1261738 1892607 2523476 3785214 5046952 5677821 7570428 10093904 11355642 15140856 22711284 30281712 45422568 90845136