Search a number
-
+
120536291400 = 233527167171851
BaseRepresentation
bin111000001000010000…
…1011101100001001000
3102112010101022000222220
41300100201131201020
53433324242311100
6131212411014040
711465000400120
oct1602041354110
9375111260886
10120536291400
1147134659858
121b43b43a320
13b49c337c65
145b96667c80
1532070dbaa0
hex1c1085d848

120536291400 has 192 divisors, whose sum is σ = 429602503680. Its totient is φ = 27386016000.

The previous prime is 120536291371. The next prime is 120536291413. The reversal of 120536291400 is 4192635021.

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 47 ways as a sum of consecutive naturals, for example, 615475 + ... + 787325.

It is an arithmetic number, because the mean of its divisors is an integer number (2237513040).

Almost surely, 2120536291400 is an apocalyptic number.

120536291400 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 120536291400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214801251840).

120536291400 is an abundant number, since it is smaller than the sum of its proper divisors (309066212280).

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

120536291400 is a wasteful number, since it uses less digits than its factorization.

120536291400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172044 (or 172035 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 120536291400 in words is "one hundred twenty billion, five hundred thirty-six million, two hundred ninety-one thousand, four hundred".