Search a number
-
+
685116432 = 243273111397
BaseRepresentation
bin101000110101100…
…000110000010000
31202202011112001200
4220311200300100
52400342211212
6151552231200
722656252000
oct5065406020
91682145050
10685116432
11321804130
1217153b500
13abc2aa50
1466dc2000
15402326dc
hex28d60c10

685116432 has 480 divisors, whose sum is σ = 2653996800. Its totient is φ = 162570240.

The previous prime is 685116403. The next prime is 685116469. The reversal of 685116432 is 234611586.

It is a happy number.

685116432 is a `hidden beast` number, since 6 + 8 + 5 + 1 + 1 + 643 + 2 = 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 95 ways as a sum of consecutive naturals, for example, 7063008 + ... + 7063104.

It is an arithmetic number, because the mean of its divisors is an integer number (5529160).

Almost surely, 2685116432 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 685116432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326998400).

685116432 is an abundant number, since it is smaller than the sum of its proper divisors (1968880368).

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

685116432 is a wasteful number, since it uses less digits than its factorization.

685116432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 685116432 is about 26174.7288811174. The cubic root of 685116432 is about 881.5659239708.

The spelling of 685116432 in words is "six hundred eighty-five million, one hundred sixteen thousand, four hundred thirty-two".