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209760030 = 2355372333
BaseRepresentation
bin11001000000010…
…10111100011110
3112121200220200000
430200022330132
5412144310110
632451515130
75124634164
oct1440127436
9477626600
10209760030
11a84498a7
125a2b8aa6
13345c387c
141dc03234
15136361c0
hexc80af1e

209760030 has 96 divisors (see below), whose sum is σ = 581109984. Its totient is φ = 54400896.

The previous prime is 209760011. The next prime is 209760053. The reversal of 209760030 is 30067902.

209760030 is a `hidden beast` number, since 20 + 9 + 7 + 600 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 209759976 and 209760003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88744 + ... + 91076.

It is an arithmetic number, because the mean of its divisors is an integer number (6053229).

Almost surely, 2209760030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209760030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290554992).

209760030 is an abundant number, since it is smaller than the sum of its proper divisors (371349954).

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

209760030 is a wasteful number, since it uses less digits than its factorization.

209760030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 209760030 is about 14483.0946278756. The cubic root of 209760030 is about 594.1657021645.

The spelling of 209760030 in words is "two hundred nine million, seven hundred sixty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 243 270 333 370 405 486 555 666 810 999 1110 1215 1665 1998 2333 2430 2997 3330 4666 4995 5994 6999 8991 9990 11665 13998 14985 17982 20997 23330 29970 34995 41994 44955 62991 69990 86321 89910 104985 125982 172642 188973 209970 258963 314955 377946 431605 517926 566919 629910 776889 863210 944865 1133838 1294815 1553778 1889730 2330667 2589630 2834595 3884445 4661334 5669190 6992001 7768890 11653335 13984002 20976003 23306670 34960005 41952006 69920010 104880015 209760030