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6990660 = 2232571547
BaseRepresentation
bin11010101010101101000100
3111011011101100
4122222231010
53242200120
6405500100
7113263635
oct32525504
914134340
106990660
113a45206
122411630
1315a9bb1
14cdd88c
15931490
hex6aab44

6990660 has 72 divisors (see below), whose sum is σ = 21542976. Its totient is φ = 1834560.

The previous prime is 6990629. The next prime is 6990667. The reversal of 6990660 is 660996.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6990667) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12507 + ... + 13053.

It is an arithmetic number, because the mean of its divisors is an integer number (299208).

Almost surely, 26990660 is an apocalyptic number.

6990660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6990660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771488).

6990660 is an abundant number, since it is smaller than the sum of its proper divisors (14552316).

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

6990660 is a wasteful number, since it uses less digits than its factorization.

6990660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 6990660 is about 2643.9856277975. The cubic root of 6990660 is about 191.2080005172.

The spelling of 6990660 in words is "six million, nine hundred ninety thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 547 639 710 852 1065 1094 1278 1420 1641 2130 2188 2556 2735 3195 3282 4260 4923 5470 6390 6564 8205 9846 10940 12780 16410 19692 24615 32820 38837 49230 77674 98460 116511 155348 194185 233022 349533 388370 466044 582555 699066 776740 1165110 1398132 1747665 2330220 3495330 6990660