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683527680 = 29335112931
BaseRepresentation
bin101000101111011…
…100111000000000
31202122011210201000
4220233130320000
52344440341210
6151454212000
722636614033
oct5057347000
91678153630
10683527680
11320919510
12170ab4000
13ab7c2864
1466acb01a
154001bac0
hex28bdce00

683527680 has 640 divisors, whose sum is σ = 2828390400. Its totient is φ = 154828800.

The previous prime is 683527657. The next prime is 683527703. The reversal of 683527680 is 86725386.

683527680 is a `hidden beast` number, since 68 + 3 + 527 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (683527657) and next prime (683527703).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 22049265 + ... + 22049295.

It is an arithmetic number, because the mean of its divisors is an integer number (4419360).

Almost surely, 2683527680 is an apocalyptic number.

683527680 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 683527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414195200).

683527680 is an abundant number, since it is smaller than the sum of its proper divisors (2144862720).

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

683527680 is a wasteful number, since it uses less digits than its factorization.

683527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 683527680 is about 26144.3622985913. The cubic root of 683527680 is about 880.8839602492.

The spelling of 683527680 in words is "six hundred eighty-three million, five hundred twenty-seven thousand, six hundred eighty".