Search a number
-
+
122031792 = 2433282481
BaseRepresentation
bin1110100011000…
…00111010110000
322111121212011000
413101200322300
5222220004132
620035322000
73011152551
oct721407260
9274555130
10122031792
116297a323
1234a50300
131c38897c
14122c8328
15aaa787c
hex7460eb0

122031792 has 40 divisors (see below), whose sum is σ = 350277680. Its totient is φ = 40677120.

The previous prime is 122031773. The next prime is 122031817. The reversal of 122031792 is 297130221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140809 + ... + 141672.

It is an arithmetic number, because the mean of its divisors is an integer number (8756942).

Almost surely, 2122031792 is an apocalyptic number.

122031792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122031792 is an abundant number, since it is smaller than the sum of its proper divisors (228245888).

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

122031792 is a wasteful number, since it uses less digits than its factorization.

122031792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282498 (or 282486 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 122031792 is about 11046.8000796611. The cubic root of 122031792 is about 496.0106440657.

The spelling of 122031792 in words is "one hundred twenty-two million, thirty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 282481 564962 847443 1129924 1694886 2259848 2542329 3389772 4519696 5084658 6779544 7626987 10169316 13559088 15253974 20338632 30507948 40677264 61015896 122031792