Search a number
-
+
122643960 = 23351022033
BaseRepresentation
bin1110100111101…
…10010111111000
322112202221212220
413103312113320
5222344101320
620100404040
73016312365
oct723662770
9275687786
10122643960
116325824a
12350a6620
131c5414ba
141240746c
15ab78e40
hex74f65f8

122643960 has 32 divisors (see below), whose sum is σ = 367932240. Its totient is φ = 32705024.

The previous prime is 122643943. The next prime is 122643991. The reversal of 122643960 is 69346221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510897 + ... + 511136.

Almost surely, 2122643960 is an apocalyptic number.

122643960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122643960 is an abundant number, since it is smaller than the sum of its proper divisors (245288280).

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

122643960 is a wasteful number, since it uses less digits than its factorization.

122643960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022047 (or 1022043 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 122643960 is about 11074.4733509093. The cubic root of 122643960 is about 496.8386674118.

It can be divided in two parts, 12264 and 3960, that multiplied together give a triangular number (48565440 = T9855).

The spelling of 122643960 in words is "one hundred twenty-two million, six hundred forty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1022033 2044066 3066099 4088132 5110165 6132198 8176264 10220330 12264396 15330495 20440660 24528792 30660990 40881320 61321980 122643960