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687102912 = 26374909
BaseRepresentation
bin101000111101000…
…101101111000000
31202212220110000000
4220331011233000
52401344243122
6152103000000
723012164326
oct5075055700
91685813000
10687102912
11322940651
12172139000
13ac474c92
146737bd16
15404c60ac
hex28f45bc0

687102912 has 112 divisors (see below), whose sum is σ = 2045309600. Its totient is φ = 228987648.

The previous prime is 687102907. The next prime is 687102929. The reversal of 687102912 is 219201786.

It is a super-2 number, since 2×6871029122 = 944220823357759488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 137514 + ... + 142422.

Almost surely, 2687102912 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 687102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022654800).

687102912 is an abundant number, since it is smaller than the sum of its proper divisors (1358206688).

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

687102912 is an frugal number, since it uses more digits than its factorization.

687102912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 687102912 is about 26212.6479394967. The cubic root of 687102912 is about 882.4171288081.

The spelling of 687102912 in words is "six hundred eighty-seven million, one hundred two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 4909 5184 5832 7776 8748 9818 11664 14727 15552 17496 19636 23328 29454 34992 39272 44181 46656 58908 69984 78544 88362 117816 132543 139968 157088 176724 235632 265086 314176 353448 397629 471264 530172 706896 795258 942528 1060344 1192887 1413792 1590516 2120688 2385774 2827584 3181032 3578661 4241376 4771548 6362064 7157322 8482752 9543096 10735983 12724128 14314644 19086192 21471966 25448256 28629288 38172384 42943932 57258576 76344768 85887864 114517152 171775728 229034304 343551456 687102912