Search a number
-
+
689613860 = 2251310126261
BaseRepresentation
bin101001000110101…
…010110000100100
31210001122000101002
4221012222300210
52403020120420
6152232452432
723042423015
oct5106526044
91701560332
10689613860
113242a6111
12172b4a118
13acb43b50
146783300c
1540820075
hex291aac24

689613860 has 48 divisors (see below), whose sum is σ = 1575089712. Its totient is φ = 252096000.

The previous prime is 689613851. The next prime is 689613871. The reversal of 689613860 is 68316986.

It can be written as a sum of positive squares in 8 ways, for example, as 70997476 + 618616384 = 8426^2 + 24872^2 .

It is a super-3 number, since 3×6896138603 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13130 + ... + 39390.

It is an arithmetic number, because the mean of its divisors is an integer number (32814369).

Almost surely, 2689613860 is an apocalyptic number.

It is a pronic number, being equal to 26260×26261.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689613860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787544856).

689613860 is an abundant number, since it is smaller than the sum of its proper divisors (885475852).

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

689613860 is a wasteful number, since it uses less digits than its factorization.

689613860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26384 (or 26382 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 689613860 is about 26260.4999952400. The cubic root of 689613860 is about 883.4907234284.

The spelling of 689613860 in words is "six hundred eighty-nine million, six hundred thirteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 26261 52522 105044 131305 262610 341393 525220 682786 1365572 1706965 2652361 3413930 5304722 6827860 10609444 13261805 26523610 34480693 53047220 68961386 137922772 172403465 344806930 689613860