Search a number
-
+
107390227032 = 233411311972467
BaseRepresentation
bin110010000000011110…
…1001101001001011000
3101021012012122202220000
41210000331031021120
53224413344231112
6121200121133000
710521141603624
oct1440075151130
9337165582800
10107390227032
11415a8a90050
121899092a160
13a18591484a
1452aa75a184
152bd7e367dc
hex1900f4d258

107390227032 has 320 divisors, whose sum is σ = 340579261440. Its totient is φ = 31320172800.

The previous prime is 107390226953. The next prime is 107390227067. The reversal of 107390227032 is 230722093701.

107390227032 is a `hidden beast` number, since 10 + 7 + 390 + 227 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43529463 + ... + 43531929.

It is an arithmetic number, because the mean of its divisors is an integer number (1064310192).

Almost surely, 2107390227032 is an apocalyptic number.

107390227032 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 107390227032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170289630720).

107390227032 is an abundant number, since it is smaller than the sum of its proper divisors (233189034408).

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

107390227032 is a wasteful number, since it uses less digits than its factorization.

107390227032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 107390227032 in words is "one hundred seven billion, three hundred ninety million, two hundred twenty-seven thousand, thirty-two".