Search a number
-
+
120077226 = 232192912107
BaseRepresentation
bin1110010100000…
…11101110101010
322100221112222200
413022003232222
5221214432401
615525401030
72655432243
oct712035652
9270845880
10120077226
1161864885
1234269176
131bb53119
1411d39cca
15a81d686
hex7283baa

120077226 has 48 divisors (see below), whose sum is σ = 283327200. Its totient is φ = 36608544.

The previous prime is 120077161. The next prime is 120077231. The reversal of 120077226 is 622770021.

It is a self number, because there is not a number n which added to its sum of digits gives 120077226.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3865 + ... + 15971.

It is an arithmetic number, because the mean of its divisors is an integer number (5902650).

Almost surely, 2120077226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120077226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141663600).

120077226 is an abundant number, since it is smaller than the sum of its proper divisors (163249974).

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

120077226 is a wasteful number, since it uses less digits than its factorization.

120077226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12163 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 120077226 is about 10957.9754516973. The cubic root of 120077226 is about 493.3482008952.

The spelling of 120077226 in words is "one hundred twenty million, seventy-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 3306 4959 9918 12107 24214 36321 72642 108963 217926 230033 351103 460066 690099 702206 1053309 1380198 2070297 2106618 3159927 4140594 6319854 6670957 13341914 20012871 40025742 60038613 120077226