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122872516 = 221313731721
BaseRepresentation
bin1110101001011…
…10001011000100
322120012120101221
413110232023010
5222423410031
620105330124
73021253624
oct724561304
9276176357
10122872516
11633a3a38
1235196944
131c5c1540
1412466884
15abc1a11
hex752e2c4

122872516 has 24 divisors (see below), whose sum is σ = 231870744. Its totient is φ = 56636160.

The previous prime is 122872513. The next prime is 122872537. The reversal of 122872516 is 615278221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46240000 + 76632516 = 6800^2 + 8754^2 .

It is not an unprimeable number, because it can be changed into a prime (122872513) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 70536 + ... + 72256.

It is an arithmetic number, because the mean of its divisors is an integer number (9661281).

Almost surely, 2122872516 is an apocalyptic number.

It is an amenable number.

122872516 is a deficient number, since it is larger than the sum of its proper divisors (108998228).

122872516 is a wasteful number, since it uses less digits than its factorization.

122872516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3109 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 122872516 is about 11084.7875938152. The cubic root of 122872516 is about 497.1471076366.

The spelling of 122872516 in words is "one hundred twenty-two million, eight hundred seventy-two thousand, five hundred sixteen".

Divisors: 1 2 4 13 26 52 1373 1721 2746 3442 5492 6884 17849 22373 35698 44746 71396 89492 2362933 4725866 9451732 30718129 61436258 122872516