Search a number
-
+
687607974 = 23397251523
BaseRepresentation
bin101000111111000…
…001000010100110
31202220212002211000
4220333001002212
52402011423344
6152121454130
723016366654
oct5077010246
91686762730
10687607974
11323156059
12172341346
13ac5c0b31
146746ddd4
1540575a69
hex28fc10a6

687607974 has 64 divisors (see below), whose sum is σ = 1552884480. Its totient is φ = 225504000.

The previous prime is 687607957. The next prime is 687607997. The reversal of 687607974 is 479706786.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 687607974.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1314477 + ... + 1314999.

It is an arithmetic number, because the mean of its divisors is an integer number (24263820).

Almost surely, 2687607974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687607974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776442240).

687607974 is an abundant number, since it is smaller than the sum of its proper divisors (865276506).

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

687607974 is a wasteful number, since it uses less digits than its factorization.

687607974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 687607974 is about 26222.2801068099. The cubic root of 687607974 is about 882.6332857561.

The spelling of 687607974 in words is "six hundred eighty-seven million, six hundred seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 97 194 251 291 502 523 582 753 873 1046 1506 1569 1746 2259 2619 3138 4518 4707 5238 6777 9414 13554 14121 24347 28242 48694 50731 73041 101462 131273 146082 152193 219123 262546 304386 393819 438246 456579 657369 787638 913158 1181457 1314738 1369737 2362914 2739474 3544371 7088742 12733481 25466962 38200443 76400886 114601329 229202658 343803987 687607974