Search a number
-
+
120347136 = 2932721341
BaseRepresentation
bin1110010110001…
…01101000000000
322101110021020100
413023011220000
5221302102021
615535242400
72660635200
oct713055000
9271407210
10120347136
1161a29648
1234379400
131bc18c30
1411daa400
15a873626
hex72c5a00

120347136 has 360 divisors, whose sum is σ = 445729284. Its totient is φ = 30965760.

The previous prime is 120347107. The next prime is 120347137. The reversal of 120347136 is 631743021.

It can be written as a sum of positive squares in 2 ways, for example, as 94945536 + 25401600 = 9744^2 + 5040^2 .

It is not an unprimeable number, because it can be changed into a prime (120347137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2935276 + ... + 2935316.

Almost surely, 2120347136 is an apocalyptic number.

120347136 is a gapful number since it is divisible by the number (16) 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 120347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222864642).

120347136 is an abundant number, since it is smaller than the sum of its proper divisors (325382148).

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

120347136 is a wasteful number, since it uses less digits than its factorization.

120347136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 120347136 is about 10970.2842260353. The cubic root of 120347136 is about 493.7175741991.

The spelling of 120347136 in words is "one hundred twenty million, three hundred forty-seven thousand, one hundred thirty-six".