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6682700340 = 22335177110253
BaseRepresentation
bin1100011100101000…
…11110101000110100
3122020201200100111000
412032110132220310
5102141232402330
63023041243300
7324414005241
oct61624365064
918221610430
106682700340
11291a234748
121366033530
1382665bb74
144757625c8
15291a3e560
hex18e51ea34

6682700340 has 192 divisors, whose sum is σ = 22325829120. Its totient is φ = 1653442560.

The previous prime is 6682700309. The next prime is 6682700363. The reversal of 6682700340 is 430072866.

It is a super-2 number, since 2×66827003402 = 89316967668472231200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6682700295 and 6682700304.

It is a congruent number.

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, 646654 + ... + 656906.

It is an arithmetic number, because the mean of its divisors is an integer number (116280360).

Almost surely, 26682700340 is an apocalyptic number.

6682700340 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 6682700340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162914560).

6682700340 is an abundant number, since it is smaller than the sum of its proper divisors (15643128780).

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

6682700340 is a wasteful number, since it uses less digits than its factorization.

6682700340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10359 (or 10351 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6682700340 is about 81747.7849241189. The cubic root of 6682700340 is about 1883.5796762024.

The spelling of 6682700340 in words is "six billion, six hundred eighty-two million, seven hundred thousand, three hundred forty".