Search a number
-
+
685943136 = 25326733539
BaseRepresentation
bin101000111000101…
…010100101100000
31202210201112002100
4220320222211200
52401100140021
6152022050400
722666264134
oct5070524540
91683645070
10685943136
1132221925a
12171879a00
13ac15a118
14671593c4
1540347626
hex28e2a960

685943136 has 72 divisors (see below), whose sum is σ = 1954101240. Its totient is φ = 228243456.

The previous prime is 685943131. The next prime is 685943147. The reversal of 685943136 is 631349586.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 685943091 and 685943100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685943131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192055 + ... + 195593.

It is an arithmetic number, because the mean of its divisors is an integer number (27140295).

Almost surely, 2685943136 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 685943136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977050620).

685943136 is an abundant number, since it is smaller than the sum of its proper divisors (1268158104).

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

685943136 is a wasteful number, since it uses less digits than its factorization.

685943136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4217 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 685943136 is about 26190.5161461167. The cubic root of 685943136 is about 881.9203654944.

The spelling of 685943136 in words is "six hundred eighty-five million, nine hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 673 1346 2019 2692 3539 4038 5384 6057 7078 8076 10617 10768 12114 14156 16152 21234 21536 24228 28312 31851 32304 42468 48456 56624 63702 64608 84936 96912 113248 127404 169872 193824 254808 339744 509616 1019232 2381747 4763494 7145241 9526988 14290482 19053976 21435723 28580964 38107952 42871446 57161928 76215904 85742892 114323856 171485784 228647712 342971568 685943136