Search a number
-
+
6990816 = 2537101103
BaseRepresentation
bin11010101010101111100000
3111011011121010
4122222233200
53242201231
6405500520
7113264250
oct32525740
914134533
106990816
113a45338
122411740
1315a9ca1
14cdd960
15931546
hex6aabe0

6990816 has 96 divisors (see below), whose sum is σ = 21385728. Its totient is φ = 1958400.

The previous prime is 6990799. The next prime is 6990821. The reversal of 6990816 is 6180996.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67821 + ... + 67923.

It is an arithmetic number, because the mean of its divisors is an integer number (222768).

Almost surely, 26990816 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 6990816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692864).

6990816 is an abundant number, since it is smaller than the sum of its proper divisors (14394912).

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

6990816 is a wasteful number, since it uses less digits than its factorization.

6990816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 6990816 is about 2644.0151285498. The cubic root of 6990816 is about 191.2094228067.

The spelling of 6990816 in words is "six million, nine hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 103 112 168 202 206 224 303 309 336 404 412 606 618 672 707 721 808 824 1212 1236 1414 1442 1616 1648 2121 2163 2424 2472 2828 2884 3232 3296 4242 4326 4848 4944 5656 5768 8484 8652 9696 9888 10403 11312 11536 16968 17304 20806 22624 23072 31209 33936 34608 41612 62418 67872 69216 72821 83224 124836 145642 166448 218463 249672 291284 332896 436926 499344 582568 873852 998688 1165136 1747704 2330272 3495408 6990816