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690030 = 2325111741
BaseRepresentation
bin10101000011101101110
31022001112200
42220131232
5134040110
622442330
75602515
oct2503556
91261480
10690030
11431480
122933a6
131b2103
1413d67c
15d96c0
hexa876e

690030 has 96 divisors (see below), whose sum is σ = 2122848. Its totient is φ = 153600.

The previous prime is 689987. The next prime is 690037. The reversal of 690030 is 30096.

It is a super-2 number, since 2×6900302 = 952282801800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 689985 and 690012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690037) by changing a digit.

690030 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 47 ways as a sum of consecutive naturals, for example, 16810 + ... + 16850.

It is an arithmetic number, because the mean of its divisors is an integer number (22113).

2690030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424).

690030 is an abundant number, since it is smaller than the sum of its proper divisors (1432818).

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

690030 is a wasteful number, since it uses less digits than its factorization.

690030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 690030 is about 830.6804439735. The cubic root of 690030 is about 88.3668398658.

The spelling of 690030 in words is "six hundred ninety thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 41 45 51 55 66 82 85 90 99 102 110 123 153 165 170 187 198 205 246 255 306 330 369 374 410 451 495 510 561 615 697 738 765 902 935 990 1122 1230 1353 1394 1530 1683 1845 1870 2091 2255 2706 2805 3366 3485 3690 4059 4182 4510 5610 6273 6765 6970 7667 8118 8415 10455 12546 13530 15334 16830 20295 20910 23001 31365 38335 40590 46002 62730 69003 76670 115005 138006 230010 345015 690030