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122618090 = 2572298629
BaseRepresentation
bin1110100111100…
…00000011101010
322112201122101202
413103300003222
5222342234330
620100044202
73016144100
oct723600352
9275648352
10122618090
116323a871
1235093662
131c5327aa
14123dbc70
15ab71445
hex74f00ea

122618090 has 48 divisors (see below), whose sum is σ = 265631400. Its totient is φ = 40586112.

The previous prime is 122618087. The next prime is 122618137. The reversal of 122618090 is 90816221.

It can be written as a sum of positive squares in 4 ways, for example, as 111281401 + 11336689 = 10549^2 + 3367^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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, 9896 + ... + 18524.

Almost surely, 2122618090 is an apocalyptic number.

122618090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122618090 is an abundant number, since it is smaller than the sum of its proper divisors (143013310).

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

122618090 is a wasteful number, since it uses less digits than its factorization.

122618090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8679 (or 8672 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 122618090 is about 11073.3052879436. The cubic root of 122618090 is about 496.8037312704.

The spelling of 122618090 in words is "one hundred twenty-two million, six hundred eighteen thousand, ninety".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 406 490 1015 1421 2030 2842 7105 8629 14210 17258 43145 60403 86290 120806 250241 302015 422821 500482 604030 845642 1251205 1751687 2114105 2502410 3503374 4228210 8758435 12261809 17516870 24523618 61309045 122618090