Search a number
-
+
6739402320 = 24325712710529
BaseRepresentation
bin1100100011011001…
…10001111001010000
3122101200101002222100
412101230301321100
5102300241333240
63032424440400
7326002655160
oct62154617120
918350332870
106739402320
112949242792
121381019100
13835322931
1447d0c25a0
152969dee30
hex191b31e50

6739402320 has 240 divisors, whose sum is σ = 26072616960. Its totient is φ = 1528160256.

The previous prime is 6739402309. The next prime is 6739402331. The reversal of 6739402320 is 232049376.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6739402309) and next prime (6739402331).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634816 + ... + 645344.

It is an arithmetic number, because the mean of its divisors is an integer number (108635904).

Almost surely, 26739402320 is an apocalyptic number.

6739402320 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 6739402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036308480).

6739402320 is an abundant number, since it is smaller than the sum of its proper divisors (19333214640).

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

6739402320 is a wasteful number, since it uses less digits than its factorization.

6739402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6739402320 is about 82093.8628644066. The cubic root of 6739402320 is about 1888.8920019531.

The spelling of 6739402320 in words is "six billion, seven hundred thirty-nine million, four hundred two thousand, three hundred twenty".