Search a number
-
+
6132391740 = 223751947157
BaseRepresentation
bin1011011011000010…
…01101111100111100
3120211101011210000000
411231201031330330
5100024343013430
62452302234300
7304652320056
oct55541157474
916741153000
106132391740
112667636752
121231885990
13769641087
144226328d6
1525d589e60
hex16d84df3c

6132391740 has 384 divisors, whose sum is σ = 20895436800. Its totient is φ = 1506615552.

The previous prime is 6132391717. The next prime is 6132391751. The reversal of 6132391740 is 471932316.

6132391740 is a `hidden beast` number, since 613 + 2 + 39 + 1 + 7 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6132391695 and 6132391704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39059742 + ... + 39059898.

It is an arithmetic number, because the mean of its divisors is an integer number (54415200).

Almost surely, 26132391740 is an apocalyptic number.

6132391740 is a gapful number since it is divisible by the number (60) 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 6132391740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447718400).

6132391740 is an abundant number, since it is smaller than the sum of its proper divisors (14763045060).

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

6132391740 is a wasteful number, since it uses less digits than its factorization.

6132391740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6132391740 is about 78309.5890680062. The cubic root of 6132391740 is about 1830.3885764477.

The spelling of 6132391740 in words is "six billion, one hundred thirty-two million, three hundred ninety-one thousand, seven hundred forty".