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6990438 = 2372133159
BaseRepresentation
bin11010101010101001100110
3111011011002010
4122222221212
53242143223
6405455050
7113263200
oct32525146
914134063
106990438
113a45024
122411486
1315a9a70
14cdd770
15931393
hex6aaa66

6990438 has 96 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 1753920.

The previous prime is 6990427. The next prime is 6990439. The reversal of 6990438 is 8340996.

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

It is a junction number, because it is equal to n+sod(n) for n = 6990396 and 6990405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6990439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118453 + ... + 118511.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 26990438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6990438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

6990438 is an abundant number, since it is smaller than the sum of its proper divisors (11395482).

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

6990438 is a wasteful number, since it uses less digits than its factorization.

6990438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 6990438 is about 2643.9436453903. The cubic root of 6990438 is about 191.2059764534.

It can be divided in two parts, 6 and 990438, that multiplied together give a triangular number (5942628 = T3447).

The spelling of 6990438 in words is "six million, nine hundred ninety thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 49 59 62 78 91 93 98 118 147 177 182 186 217 273 294 354 403 413 434 546 637 651 767 806 826 1209 1239 1274 1302 1519 1534 1829 1911 2301 2418 2478 2821 2891 3038 3658 3822 4557 4602 5369 5487 5642 5782 8463 8673 9114 10738 10974 12803 16107 16926 17346 19747 23777 25606 32214 37583 38409 39494 47554 59241 71331 75166 76818 89621 112749 118482 142662 166439 179242 225498 268863 332878 499317 537726 998634 1165073 2330146 3495219 6990438