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687071220 = 2235116431619
BaseRepresentation
bin101000111100111…
…101111111110100
31202212211211112020
4220330331333310
52401342234340
6152102153140
723012003043
oct5074757764
91685754466
10687071220
11322919860
121721227b0
13ac463724
146737055a
15404bb9d0
hex28f3dff4

687071220 has 96 divisors (see below), whose sum is σ = 2103252480. Its totient is φ = 166200960.

The previous prime is 687071213. The next prime is 687071227. The reversal of 687071220 is 22170786.

It is an interprime number because it is at equal distance from previous prime (687071213) and next prime (687071227).

It is a super-2 number, since 2×6870712202 = 944133722704576800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687071227) 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, 423571 + ... + 425189.

It is an arithmetic number, because the mean of its divisors is an integer number (21908880).

Almost surely, 2687071220 is an apocalyptic number.

687071220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687071220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051626240).

687071220 is an abundant number, since it is smaller than the sum of its proper divisors (1416181260).

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

687071220 is a wasteful number, since it uses less digits than its factorization.

687071220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 687071220 is about 26212.0434151937. The cubic root of 687071220 is about 882.4035617024.

The spelling of 687071220 in words is "six hundred eighty-seven million, seventy-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 643 660 1286 1619 1929 2572 3215 3238 3858 4857 6430 6476 7073 7716 8095 9645 9714 12860 14146 16190 17809 19290 19428 21219 24285 28292 32380 35365 35618 38580 42438 48570 53427 70730 71236 84876 89045 97140 106095 106854 141460 178090 212190 213708 267135 356180 424380 534270 1041017 1068540 2082034 3123051 4164068 5205085 6246102 10410170 11451187 12492204 15615255 20820340 22902374 31230510 34353561 45804748 57255935 62461020 68707122 114511870 137414244 171767805 229023740 343535610 687071220