Search a number
-
+
6794262720 = 263357112339
BaseRepresentation
bin1100101001111100…
…00011100011000000
3122112111121022022000
412110332003203000
5102403312401340
63042104344000
7330240165060
oct62476034300
918474538260
106794262720
112977203163
121397475000
138437c03cb
144864c33a0
1529b729d30
hex194f838c0

6794262720 has 224 divisors, whose sum is σ = 27392985600. Its totient is φ = 1552960512.

The previous prime is 6794262701. The next prime is 6794262749. The reversal of 6794262720 is 272624976.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4311 + ... + 116649.

Almost surely, 26794262720 is an apocalyptic number.

6794262720 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 6794262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696492800).

6794262720 is an abundant number, since it is smaller than the sum of its proper divisors (20598722880).

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

6794262720 is a wasteful number, since it uses less digits than its factorization.

6794262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112372 (or 112356 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6794262720 is about 82427.3178018065. The cubic root of 6794262720 is about 1894.0035065001.

The spelling of 6794262720 in words is "six billion, seven hundred ninety-four million, two hundred sixty-two thousand, seven hundred twenty".