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6990632 = 23111937113
BaseRepresentation
bin11010101010101100101000
3111011011100022
4122222230220
53242200012
6405500012
7113263565
oct32525450
914134308
106990632
113a45190
122411608
1315a9b8c
14cdd86c
15931472
hex6aab28

6990632 has 64 divisors (see below), whose sum is σ = 15595200. Its totient is φ = 2903040.

The previous prime is 6990629. The next prime is 6990667. The reversal of 6990632 is 2360996.

It is a junction number, because it is equal to n+sod(n) for n = 6990592 and 6990601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61808 + ... + 61920.

It is an arithmetic number, because the mean of its divisors is an integer number (243675).

Almost surely, 26990632 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 6990632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797600).

6990632 is an abundant number, since it is smaller than the sum of its proper divisors (8604568).

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

6990632 is a wasteful number, since it uses less digits than its factorization.

6990632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 6990632 is about 2643.9803327559. The cubic root of 6990632 is about 191.2077452323.

The spelling of 6990632 in words is "six million, nine hundred ninety thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 37 38 44 74 76 88 113 148 152 209 226 296 407 418 452 703 814 836 904 1243 1406 1628 1672 2147 2486 2812 3256 4181 4294 4972 5624 7733 8362 8588 9944 15466 16724 17176 23617 30932 33448 45991 47234 61864 79439 91982 94468 158878 183964 188936 317756 367928 635512 873829 1747658 3495316 6990632