Search a number
-
+
120794112 = 2103317257
BaseRepresentation
bin1110011001100…
…10110000000000
322102021222101000
413030302300000
5221410402422
615553012000
72664506265
oct714626000
9272258330
10120794112
116220444a
1234554000
131c04450a
141208526c
15a910cac
hex7332c00

120794112 has 176 divisors, whose sum is σ = 380250720. Its totient is φ = 37748736.

The previous prime is 120794087. The next prime is 120794143. The reversal of 120794112 is 211497021.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469888 + ... + 470144.

Almost surely, 2120794112 is an apocalyptic number.

120794112 is a gapful number since it is divisible by the number (12) 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 120794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190125360).

120794112 is an abundant number, since it is smaller than the sum of its proper divisors (259456608).

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

120794112 is a wasteful number, since it uses less digits than its factorization.

120794112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 120794112 is about 10990.6374701379. The cubic root of 120794112 is about 494.3280506100.

The spelling of 120794112 in words is "one hundred twenty million, seven hundred ninety-four thousand, one hundred twelve".