Search a number
-
+
681744096 = 253211215197
BaseRepresentation
bin101000101000101…
…001011011100000
31202111211012002100
4220220221123200
52344011302341
6151352050400
722615505055
oct5050513340
91674735070
10681744096
1131a910480
12170393a00
13ab319a97
146678502c
153ecb83b6
hex28a296e0

681744096 has 72 divisors (see below), whose sum is σ = 2114965944. Its totient is φ = 206588160.

The previous prime is 681744079. The next prime is 681744101. The reversal of 681744096 is 690447186.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104431 + ... + 110766.

It is an arithmetic number, because the mean of its divisors is an integer number (29374527).

Almost surely, 2681744096 is an apocalyptic number.

681744096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

681744096 is an abundant number, since it is smaller than the sum of its proper divisors (1433221848).

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

681744096 is a wasteful number, since it uses less digits than its factorization.

681744096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215224 (or 215213 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 681744096 is about 26110.2297194031. The cubic root of 681744096 is about 880.1171056276.

The spelling of 681744096 in words is "six hundred eighty-one million, seven hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 215197 430394 645591 860788 1291182 1721576 1936773 2367167 2582364 3443152 3873546 4734334 5164728 6886304 7101501 7747092 9468668 10329456 14203002 15494184 18937336 20658912 21304503 28406004 30988368 37874672 42609006 56812008 61976736 75749344 85218012 113624016 170436024 227248032 340872048 681744096