Search a number
-
+
687011220 = 223457471289
BaseRepresentation
bin101000111100101…
…111010110010100
31202212201210020000
4220330233112110
52401333324340
6152101011300
723011333110
oct5074572624
91685653200
10687011220
11322888775
121720b3b30
13ac44231c
1467356740
15404a8d30
hex28f2f594

687011220 has 240 divisors, whose sum is σ = 2517419520. Its totient is φ = 153570816.

The previous prime is 687011209. The next prime is 687011239. The reversal of 687011220 is 22110786.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 532336 + ... + 533624.

It is an arithmetic number, because the mean of its divisors is an integer number (10489248).

Almost surely, 2687011220 is an apocalyptic number.

687011220 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 687011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258709760).

687011220 is an abundant number, since it is smaller than the sum of its proper divisors (1830408300).

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

687011220 is a wasteful number, since it uses less digits than its factorization.

687011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 687011220 is about 26210.8988781385. The cubic root of 687011220 is about 882.3778750131.

The spelling of 687011220 in words is "six hundred eighty-seven million, eleven thousand, two hundred twenty".