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122652072 = 23321703501
BaseRepresentation
bin1110100111110…
…00010110101000
322112210101000100
413103320112220
5222344331242
620100505400
73016345134
oct723702650
9275711010
10122652072
1163263354
12350ab260
131c5450ba
141240a3c4
15ab7b54c
hex74f85a8

122652072 has 24 divisors (see below), whose sum is σ = 332182890. Its totient is φ = 40884000.

The previous prime is 122652043. The next prime is 122652097. The reversal of 122652072 is 270256221.

122652072 is a `hidden beast` number, since 1 + 2 + 2 + 652 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88849476 + 33802596 = 9426^2 + 5814^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 851679 + ... + 851822.

Almost surely, 2122652072 is an apocalyptic number.

122652072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122652072 is an abundant number, since it is smaller than the sum of its proper divisors (209530818).

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

122652072 is a wasteful number, since it uses less digits than its factorization.

122652072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703513 (or 1703506 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 122652072 is about 11074.8395925178. The cubic root of 122652072 is about 496.8496212503.

The spelling of 122652072 in words is "one hundred twenty-two million, six hundred fifty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1703501 3407002 5110503 6814004 10221006 13628008 15331509 20442012 30663018 40884024 61326036 122652072