Search a number
-
+
681135750 = 233531947113
BaseRepresentation
bin101000100110010…
…100111010000110
31202110200021121000
4220212110322012
52343332321000
6151331034130
722610362341
oct5046247206
91673607530
10681135750
1131a535409
1217013b946
13ab165c09
1466667458
153ebe8000
hex28994e86

681135750 has 256 divisors, whose sum is σ = 2048716800. Its totient is φ = 166924800.

The previous prime is 681135737. The next prime is 681135757. The reversal of 681135750 is 57531186.

681135750 is a `hidden beast` number, since 6 + 81 + 1 + 3 + 575 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681135757) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6027694 + ... + 6027806.

It is an arithmetic number, because the mean of its divisors is an integer number (8002800).

Almost surely, 2681135750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681135750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024358400).

681135750 is an abundant number, since it is smaller than the sum of its proper divisors (1367581050).

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

681135750 is a wasteful number, since it uses less digits than its factorization.

681135750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 681135750 is about 26098.5775474450. The cubic root of 681135750 is about 879.8552404791.

The spelling of 681135750 in words is "six hundred eighty-one million, one hundred thirty-five thousand, seven hundred fifty".