Search a number
-
+
687387036 = 223737673301
BaseRepresentation
bin101000111110001…
…011000110011100
31202220102212202010
4220332023012130
52401432341121
6152113031220
723014456560
oct5076130634
91686385663
10687387036
11323015066
12172255510
13ac5443bb
14674136a0
1540530376
hex28f8b19c

687387036 has 96 divisors (see below), whose sum is σ = 1911250432. Its totient is φ = 188179200.

The previous prime is 687387031. The next prime is 687387059. The reversal of 687387036 is 630783786.

687387036 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 not an unprimeable number, because it can be changed into a prime (687387031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206586 + ... + 209886.

Almost surely, 2687387036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687387036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955625216).

687387036 is an abundant number, since it is smaller than the sum of its proper divisors (1223863396).

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

687387036 is a wasteful number, since it uses less digits than its factorization.

687387036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 687387036 is about 26218.0669768006. The cubic root of 687387036 is about 882.5387415147.

The spelling of 687387036 in words is "six hundred eighty-seven million, three hundred eighty-seven thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 67 74 84 111 134 148 201 222 259 268 402 444 469 518 777 804 938 1036 1407 1554 1876 2479 2814 3108 3301 4958 5628 6602 7437 9903 9916 13204 14874 17353 19806 23107 29748 34706 39612 46214 52059 69321 69412 92428 104118 122137 138642 208236 221167 244274 277284 366411 442334 488548 663501 732822 854959 884668 1327002 1465644 1548169 1709918 2564877 2654004 3096338 3419836 4644507 5129754 6192676 8183179 9289014 10259508 16366358 18578028 24549537 32732716 49099074 57282253 98198148 114564506 171846759 229129012 343693518 687387036