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6936330240 = 22033572
BaseRepresentation
bin1100111010111000…
…00000000000000000
3122220101221002022000
412131130000000000
5103201200031430
63104141344000
7333613556100
oct63534000000
918811832260
106936330240
112a3a417634
121416b68000
13867072828
1449b305200
152a8e3de60
hex19d700000

6936330240 has 504 divisors, whose sum is σ = 28689025680. Its totient is φ = 1585446912.

The previous prime is 6936330227. The next prime is 6936330241. The reversal of 6936330240 is 420336396.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×69363302403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 6936330195 and 6936330204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6936330241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990904317 + ... + 990904323.

It is an arithmetic number, because the mean of its divisors is an integer number (56922670).

Almost surely, 26936330240 is an apocalyptic number.

6936330240 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 6936330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344512840).

6936330240 is an abundant number, since it is smaller than the sum of its proper divisors (21752695440).

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

6936330240 is an frugal number, since it uses more digits than its factorization.

6936330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 6936330240 is about 83284.6338768443. The cubic root of 6936330240 is about 1907.1137056882.

The spelling of 6936330240 in words is "six billion, nine hundred thirty-six million, three hundred thirty thousand, two hundred forty".