Search a number
-
+
686956116 = 2237115912601
BaseRepresentation
bin101000111100100…
…001111001010100
31202212121222122010
4220330201321110
52401330043431
6152055504220
723011013340
oct5074417124
91685558563
10686956116
11322850330
12172088070
13ac423212
1467340620
1540497846
hex28f21e54

686956116 has 96 divisors (see below), whose sum is σ = 2032450560. Its totient is φ = 175392000.

The previous prime is 686956103. The next prime is 686956129. The reversal of 686956116 is 611659686.

It is an interprime number because it is at equal distance from previous prime (686956103) and next prime (686956129).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48216 + ... + 60816.

It is an arithmetic number, because the mean of its divisors is an integer number (21171360).

Almost surely, 2686956116 is an apocalyptic number.

686956116 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 686956116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016225280).

686956116 is an abundant number, since it is smaller than the sum of its proper divisors (1345494444).

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

686956116 is a wasteful number, since it uses less digits than its factorization.

686956116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12685 (or 12683 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 686956116 is about 26209.8476912782. The cubic root of 686956116 is about 882.3542830401.

The spelling of 686956116 in words is "six hundred eighty-six million, nine hundred fifty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 59 66 77 84 118 132 154 177 231 236 308 354 413 462 649 708 826 924 1239 1298 1652 1947 2478 2596 3894 4543 4956 7788 9086 12601 13629 18172 25202 27258 37803 50404 54516 75606 88207 138611 151212 176414 264621 277222 352828 415833 529242 554444 743459 831666 970277 1058484 1486918 1663332 1940554 2230377 2910831 2973836 3881108 4460754 5204213 5821662 8178049 8921508 10408426 11643324 15612639 16356098 20816852 24534147 31225278 32712196 49068294 57246343 62450556 98136588 114492686 171739029 228985372 343478058 686956116