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122760420 = 22357128817
BaseRepresentation
bin1110101000100…
…10110011100100
322112222212122020
413110102303210
5222411313140
620103103140
73020306046
oct724226344
9275885566
10122760420
11633277a2
1235141ab0
131c582503
1412437a96
15ab9d6d0
hex7512ce4

122760420 has 48 divisors (see below), whose sum is σ = 348582528. Its totient is φ = 32273920.

The previous prime is 122760389. The next prime is 122760427. The reversal of 122760420 is 24067221.

It is not an unprimeable number, because it can be changed into a prime (122760427) 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 15 ways as a sum of consecutive naturals, for example, 10149 + ... + 18668.

It is an arithmetic number, because the mean of its divisors is an integer number (7262136).

Almost surely, 2122760420 is an apocalyptic number.

122760420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122760420 is an abundant number, since it is smaller than the sum of its proper divisors (225822108).

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

122760420 is a wasteful number, since it uses less digits than its factorization.

122760420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28900 (or 28898 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 122760420 is about 11079.7301411181. The cubic root of 122760420 is about 496.9958800080.

The spelling of 122760420 in words is "one hundred twenty-two million, seven hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 28817 57634 86451 115268 144085 172902 288170 345804 432255 576340 864510 1729020 2046007 4092014 6138021 8184028 10230035 12276042 20460070 24552084 30690105 40920140 61380210 122760420