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687113028 = 223276144699
BaseRepresentation
bin101000111101001…
…000001101000100
31202212220221212200
4220331020031010
52401400104103
6152103114500
723012235660
oct5075101504
91685827780
10687113028
11322948208
12172142a30
13ac479774
14673818a0
15404c90a3
hex28f48344

687113028 has 72 divisors (see below), whose sum is σ = 2017579200. Its totient is φ = 193095360.

The previous prime is 687113023. The next prime is 687113059. The reversal of 687113028 is 820311786.

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

It is a junction number, because it is equal to n+sod(n) for n = 687112983 and 687113001.

It is not an unprimeable number, because it can be changed into a prime (687113023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6978 + ... + 37721.

Almost surely, 2687113028 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 687113028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008789600).

687113028 is an abundant number, since it is smaller than the sum of its proper divisors (1330466172).

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

687113028 is a wasteful number, since it uses less digits than its factorization.

687113028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44777 (or 44772 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 687113028 is about 26212.8408990708. The cubic root of 687113028 is about 882.4214593035.

The spelling of 687113028 in words is "six hundred eighty-seven million, one hundred thirteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2562 3843 5124 7686 15372 44699 89398 134097 178796 268194 312893 402291 536388 625786 804582 938679 1251572 1609164 1877358 2726639 2816037 3754716 5453278 5632074 8179917 10906556 11264148 16359834 19086473 24539751 32719668 38172946 49079502 57259419 76345892 98159004 114518838 171778257 229037676 343556514 687113028