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122652045 = 3257337337
BaseRepresentation
bin1110100111110…
…00010110001101
322112210100222100
413103320112031
5222344331140
620100505313
73016345065
oct723702615
9275710870
10122652045
116326332a
12350ab239
131c545099
141240a3a5
15ab7b530
hex74f858d

122652045 has 24 divisors (see below), whose sum is σ = 215514936. Its totient is φ = 64516608.

The previous prime is 122652043. The next prime is 122652097. The reversal of 122652045 is 540256221.

122652045 is a `hidden beast` number, since 1 + 2 + 2 + 652 + 0 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22071204 + 100580841 = 4698^2 + 10029^2 .

It is not a de Polignac number, because 122652045 - 21 = 122652043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122652043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15384 + ... + 21953.

It is an arithmetic number, because the mean of its divisors is an integer number (8979789).

Almost surely, 2122652045 is an apocalyptic number.

122652045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122652045 is a deficient number, since it is larger than the sum of its proper divisors (92862891).

122652045 is a wasteful number, since it uses less digits than its factorization.

122652045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37421 (or 37418 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 122652045 is about 11074.8383735385. The cubic root of 122652045 is about 496.8495847924.

The spelling of 122652045 in words is "one hundred twenty-two million, six hundred fifty-two thousand, forty-five".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 3285 37337 112011 186685 336033 560055 1680165 2725601 8176803 13628005 24530409 40884015 122652045