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687870330 = 235723712647
BaseRepresentation
bin101001000000000…
…001000101111010
31202221100102200220
4221000001011322
52402043322310
6152131240510
723021541600
oct5100010572
91687312626
10687870330
11323315184
12172449136
13ac683384
14674db870
15405c8670
hex2900117a

687870330 has 96 divisors (see below), whose sum is σ = 1972480896. Its totient is φ = 152966016.

The previous prime is 687870277. The next prime is 687870349. The reversal of 687870330 is 33078786.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48067 + ... + 60713.

It is an arithmetic number, because the mean of its divisors is an integer number (20546676).

Almost surely, 2687870330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687870330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986240448).

687870330 is an abundant number, since it is smaller than the sum of its proper divisors (1284610566).

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

687870330 is a wasteful number, since it uses less digits than its factorization.

687870330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12708 (or 12701 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 687870330 is about 26227.2821695272. The cubic root of 687870330 is about 882.7455273735.

The spelling of 687870330 in words is "six hundred eighty-seven million, eight hundred seventy thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 49 70 74 98 105 111 147 185 210 222 245 259 294 370 490 518 555 735 777 1110 1295 1470 1554 1813 2590 3626 3885 5439 7770 9065 10878 12647 18130 25294 27195 37941 54390 63235 75882 88529 126470 177058 189705 265587 379410 442645 467939 531174 619703 885290 935878 1239406 1327935 1403817 1859109 2339695 2655870 2807634 3098515 3275573 3718218 4679390 6197030 6551146 7019085 9295545 9826719 14038170 16377865 18591090 19653438 22929011 32755730 45858022 49133595 68787033 98267190 114645055 137574066 229290110 343935165 687870330