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122740296 = 23372295961
BaseRepresentation
bin1110101000011…
…01111001001000
322112221212000220
413110031321020
5222410142141
620102430040
73020163300
oct724157110
9275855026
10122740296
1163313668
1235132320
131c5762c3
1412430600
15ab97766
hex750de48

122740296 has 192 divisors, whose sum is σ = 381672000. Its totient is φ = 32739840.

The previous prime is 122740291. The next prime is 122740301. The reversal of 122740296 is 692047221.

It is an interprime number because it is at equal distance from previous prime (122740291) and next prime (122740301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122740291) 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 47 ways as a sum of consecutive naturals, for example, 2012106 + ... + 2012166.

It is an arithmetic number, because the mean of its divisors is an integer number (1987875).

Almost surely, 2122740296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122740296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190836000).

122740296 is an abundant number, since it is smaller than the sum of its proper divisors (258931704).

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

122740296 is a wasteful number, since it uses less digits than its factorization.

122740296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 122740296 is about 11078.8219590352. The cubic root of 122740296 is about 496.9687211684.

The spelling of 122740296 in words is "one hundred twenty-two million, seven hundred forty thousand, two hundred ninety-six".