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6790368 = 253135441
BaseRepresentation
bin11001111001110011100000
3110202222122010
4121321303200
53214242433
6401312520
7111500664
oct31716340
913688563
106790368
113918782
122335740
131539990
14c8a8a4
158e1e63
hex679ce0

6790368 has 48 divisors (see below), whose sum is σ = 19199376. Its totient is φ = 2088960.

The previous prime is 6790363. The next prime is 6790409. The reversal of 6790368 is 8630976.

6790368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×67903682 = 92218195150848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6790363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1473 + ... + 3968.

It is an arithmetic number, because the mean of its divisors is an integer number (399987).

Almost surely, 26790368 is an apocalyptic number.

It is an amenable number.

6790368 is an abundant number, since it is smaller than the sum of its proper divisors (12409008).

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

6790368 is a wasteful number, since it uses less digits than its factorization.

6790368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 6790368 is about 2605.8334559215. The cubic root of 6790368 is about 189.3641533288.

The spelling of 6790368 in words is "six million, seven hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 5441 10882 16323 21764 32646 43528 65292 70733 87056 130584 141466 174112 212199 261168 282932 424398 522336 565864 848796 1131728 1697592 2263456 3395184 6790368