Search a number
-
+
6790900 = 2252591151
BaseRepresentation
bin11001111001111011110100
3110210000100211
4121321323310
53214302100
6401315204
7111502354
oct31717364
913700324
106790900
113919116
122335b04
131539cac
14c8ab64
158e21ba
hex679ef4

6790900 has 36 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 2668000.

The previous prime is 6790897. The next prime is 6790913. The reversal of 6790900 is 90976.

It is a super-2 number, since 2×67909002 = 92232645620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5325 + ... + 6475.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 26790900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6790900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

6790900 is an abundant number, since it is smaller than the sum of its proper divisors (8208140).

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

6790900 is a wasteful number, since it uses less digits than its factorization.

6790900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 6790900 is about 2605.9355325871. The cubic root of 6790900 is about 189.3690985246.

The spelling of 6790900 in words is "six million, seven hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1151 1180 1475 2302 2950 4604 5755 5900 11510 23020 28775 57550 67909 115100 135818 271636 339545 679090 1358180 1697725 3395450 6790900