Search a number
-
+
681102576 = 2432711195361
BaseRepresentation
bin101000100110001…
…100110011110000
31202110121121002100
4220212030303300
52343330240301
6151330220400
722610163540
oct5046146360
91673547070
10681102576
1131a5124a0
12170124700
13ab153a9b
1466659320
153ebdd286
hex2898ccf0

681102576 has 480 divisors, whose sum is σ = 2590548480. Its totient is φ = 161740800.

The previous prime is 681102559. The next prime is 681102593. The reversal of 681102576 is 675201186.

681102576 is a `hidden beast` number, since 6 + 81 + 1 + 0 + 2 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (681102559) and next prime (681102593).

It is a super-3 number, since 3×6811025763 (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 681102576.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 11165586 + ... + 11165646.

It is an arithmetic number, because the mean of its divisors is an integer number (5396976).

Almost surely, 2681102576 is an apocalyptic number.

681102576 is a gapful number since it is divisible by the number (66) 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 681102576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295274240).

681102576 is an abundant number, since it is smaller than the sum of its proper divisors (1909445904).

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

681102576 is a wasteful number, since it uses less digits than its factorization.

681102576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 681102576 is about 26097.9419878273. The cubic root of 681102576 is about 879.8409561059.

The spelling of 681102576 in words is "six hundred eighty-one million, one hundred two thousand, five hundred seventy-six".