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687014020 = 225711795647
BaseRepresentation
bin101000111100110…
…000000010000100
31202212201221001201
4220330300002010
52401333422040
6152101032244
723011344220
oct5074600204
91685657051
10687014020
1132288a890
121720b5684
13ac443694
1467357780
15404a9a9a
hex28f30084

687014020 has 96 divisors (see below), whose sum is σ = 1821818880. Its totient is φ = 211386240.

The previous prime is 687013961. The next prime is 687014059. The reversal of 687014020 is 20410786.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 687014020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118837 + ... + 124483.

It is an arithmetic number, because the mean of its divisors is an integer number (18977280).

Almost surely, 2687014020 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 687014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910909440).

687014020 is an abundant number, since it is smaller than the sum of its proper divisors (1134804860).

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

687014020 is a wasteful number, since it uses less digits than its factorization.

687014020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 687014020 is about 26210.9522909794. The cubic root of 687014020 is about 882.3790737585.

The spelling of 687014020 in words is "six hundred eighty-seven million, fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 79 110 140 154 158 220 308 316 385 395 553 770 790 869 1106 1540 1580 1738 2212 2765 3476 4345 5530 5647 6083 8690 11060 11294 12166 17380 22588 24332 28235 30415 39529 56470 60830 62117 79058 112940 121660 124234 158116 197645 248468 310585 395290 434819 446113 621170 790580 869638 892226 1242340 1739276 1784452 2174095 2230565 3122791 4348190 4461130 4907243 6245582 8696380 8922260 9814486 12491164 15613955 19628972 24536215 31227910 34350701 49072430 62455820 68701402 98144860 137402804 171753505 343507010 687014020