Search a number
-
+
689421600 = 253252713679
BaseRepresentation
bin101001000101111…
…011110100100000
31210001021020122100
4221011323310200
52402442442400
6152224410400
723040662340
oct5105736440
91701236570
10689421600
1132418471a
12172a76a00
13acaa749a
14677c2d20
15407d3100
hex2917bd20

689421600 has 216 divisors, whose sum is σ = 2778572160. Its totient is φ = 157570560.

The previous prime is 689421599. The next prime is 689421641. The reversal of 689421600 is 6124986.

689421600 is a `hidden beast` number, since 6 + 8 + 9 + 42 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43561 + ... + 57239.

It is an arithmetic number, because the mean of its divisors is an integer number (12863760).

Almost surely, 2689421600 is an apocalyptic number.

689421600 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 689421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

689421600 is an abundant number, since it is smaller than the sum of its proper divisors (2089150560).

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

689421600 is a wasteful number, since it uses less digits than its factorization.

689421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13712 (or 13696 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 689421600 is about 26256.8391090778. The cubic root of 689421600 is about 883.4086119145.

The spelling of 689421600 in words is "six hundred eighty-nine million, four hundred twenty-one thousand, six hundred".