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683506080 = 253351741227
BaseRepresentation
bin101000101111010…
…111100110100000
31202122010201002000
4220233113212200
52344434143310
6151453524000
722636464045
oct5057274640
91678121060
10683506080
11320904264
12170aa3600
13ab7b5a8a
1466ac31cc
15400154c0
hex28bd79a0

683506080 has 384 divisors, whose sum is σ = 2606204160. Its totient is φ = 166625280.

The previous prime is 683506067. The next prime is 683506123. The reversal of 683506080 is 80605386.

683506080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6835060802 = 934361122793932800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 3010927 + ... + 3011153.

It is an arithmetic number, because the mean of its divisors is an integer number (6786990).

Almost surely, 2683506080 is an apocalyptic number.

683506080 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 683506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303102080).

683506080 is an abundant number, since it is smaller than the sum of its proper divisors (1922698080).

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

683506080 is a wasteful number, since it uses less digits than its factorization.

683506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

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

The square root of 683506080 is about 26143.9492043570. The cubic root of 683506080 is about 880.8746812814.

The spelling of 683506080 in words is "six hundred eighty-three million, five hundred six thousand, eighty".