Search a number
BaseRepresentation
bin1110101000001…
…11100011100100
322112220112102120
413110013203210
5222403324330
620102105540
73020024520
oct724074344
9275815376
10122714340
11632a6111
123511b2b0
131c567548
1412424d80
15ab8ec10
hex75078e4

122714340 has 96 divisors (see below), whose sum is σ = 395399424. Its totient is φ = 27855360.

The previous prime is 122714323. The next prime is 122714351. The reversal of 122714340 is 43417221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122714340.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 65010 + ... + 66870.

It is an arithmetic number, because the mean of its divisors is an integer number (4118744).

Almost surely, 2122714340 is an apocalyptic number.

122714340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122714340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197699712).

122714340 is an abundant number, since it is smaller than the sum of its proper divisors (272685084).

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

122714340 is a wasteful number, since it uses less digits than its factorization.

122714340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2035 counting only the distinct ones).

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

The square root of 122714340 is about 11077.6504729117. The cubic root of 122714340 is about 496.9336872257.

The spelling of 122714340 in words is "one hundred twenty-two million, seven hundred fourteen thousand, three hundred forty".