Search a number
-
+
122675742 = 23371922931
BaseRepresentation
bin1110100111111…
…10001000011110
322112211120111000
413103332020132
5222401110432
620101211130
73016504140
oct723761036
9275746430
10122675742
116327a112
1235100aa6
131c552ac7
1412414c90
15ab8357c
hex74fe21e

122675742 has 192 divisors, whose sum is σ = 351129600. Its totient is φ = 31026240.

The previous prime is 122675737. The next prime is 122675759. The reversal of 122675742 is 247576221.

It is a happy number.

122675742 is a `hidden beast` number, since 1 + 22 + 67 + 574 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122675697 and 122675706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3957267 + ... + 3957297.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2122675742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122675742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175564800).

122675742 is an abundant number, since it is smaller than the sum of its proper divisors (228453858).

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

122675742 is a wasteful number, since it uses less digits than its factorization.

122675742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 122675742 is about 11075.9081794677. The cubic root of 122675742 is about 496.8815806889.

The spelling of 122675742 in words is "one hundred twenty-two million, six hundred seventy-five thousand, seven hundred forty-two".