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122090544 = 2433282617
BaseRepresentation
bin1110100011011…
…11010000110000
322111201211202000
413101233100300
5222223344134
620040454000
73011516052
oct721572060
9274654660
10122090544
1162a0a484
1234a7a300
131c3a9634
14123018d2
15aab9e99
hex746f430

122090544 has 40 divisors (see below), whose sum is σ = 350446320. Its totient is φ = 40696704.

The previous prime is 122090543. The next prime is 122090557. The reversal of 122090544 is 445090221.

122090544 is a `hidden beast` number, since 12 + 20 + 90 + 544 = 666.

It is a super-2 number, since 2×1220905442 = 29812201868431872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122090543) 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 7 ways as a sum of consecutive naturals, for example, 140877 + ... + 141740.

It is an arithmetic number, because the mean of its divisors is an integer number (8761158).

Almost surely, 2122090544 is an apocalyptic number.

It is an amenable number.

122090544 is an abundant number, since it is smaller than the sum of its proper divisors (228355776).

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

122090544 is a wasteful number, since it uses less digits than its factorization.

122090544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282634 (or 282622 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122090544 is about 11049.4589912810. The cubic root of 122090544 is about 496.0902324566.

The spelling of 122090544 in words is "one hundred twenty-two million, ninety thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 282617 565234 847851 1130468 1695702 2260936 2543553 3391404 4521872 5087106 6782808 7630659 10174212 13565616 15261318 20348424 30522636 40696848 61045272 122090544