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6990516 = 2233132383
BaseRepresentation
bin11010101010101010110100
3111011011012000
4122222222310
53242144031
6405455300
7113263341
oct32525264
914134160
106990516
113a45095
122411530
1315a9b00
14cdd7c8
159313e6
hex6aaab4

6990516 has 72 divisors (see below), whose sum is σ = 19676160. Its totient is φ = 2145312.

The previous prime is 6990493. The next prime is 6990517. The reversal of 6990516 is 6150996.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6990517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18061 + ... + 18443.

It is an arithmetic number, because the mean of its divisors is an integer number (273280).

Almost surely, 26990516 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 6990516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9838080).

6990516 is an abundant number, since it is smaller than the sum of its proper divisors (12685644).

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

6990516 is a wasteful number, since it uses less digits than its factorization.

6990516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 6990516 is about 2643.9583960418. The cubic root of 6990516 is about 191.2066876159.

The spelling of 6990516 in words is "six million, nine hundred ninety thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 383 468 507 676 702 766 1014 1149 1404 1521 1532 2028 2298 3042 3447 4563 4596 4979 6084 6894 9126 9958 10341 13788 14937 18252 19916 20682 29874 41364 44811 59748 64727 89622 129454 134433 179244 194181 258908 268866 388362 537732 582543 776724 1165086 1747629 2330172 3495258 6990516