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680496414 = 231324315607
BaseRepresentation
bin101000100011111…
…000110100011110
31202102110210120220
4220203320310132
52343201341124
6151305222210
722602060363
oct5043706436
91672423526
10680496414
1131a139034
1216ba91966
13aaca0c00
146653c46a
153eb1d879
hex288f8d1e

680496414 has 48 divisors (see below), whose sum is σ = 1508107392. Its totient is φ = 204501024.

The previous prime is 680496379. The next prime is 680496431. The reversal of 680496414 is 414694086.

680496414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35799 + ... + 51405.

It is an arithmetic number, because the mean of its divisors is an integer number (31418904).

Almost surely, 2680496414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680496414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754053696).

680496414 is an abundant number, since it is smaller than the sum of its proper divisors (827610978).

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

680496414 is a wasteful number, since it uses less digits than its factorization.

680496414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15681 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 680496414 is about 26086.3261882543. The cubic root of 680496414 is about 879.5798674605.

The spelling of 680496414 in words is "six hundred eighty million, four hundred ninety-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 169 258 338 507 559 1014 1118 1677 3354 7267 14534 15607 21801 31214 43602 46821 93642 202891 405782 608673 671101 1217346 1342202 2013303 2637583 4026606 5275166 7912749 8724313 15825498 17448626 26172939 52345878 113416069 226832138 340248207 680496414