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209693340 = 22335577673
BaseRepresentation
bin11000111111110…
…10101010011100
3112121120112012000
430133322222130
5412140141330
632450242300
75124235563
oct1437725234
9477515160
10209693340
11a840378a
125a286390
133459c3cc
141dbc6bda
1513621560
hexc7faa9c

209693340 has 96 divisors (see below), whose sum is σ = 654480960. Its totient is φ = 55738368.

The previous prime is 209693333. The next prime is 209693359. The reversal of 209693340 is 43396902.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 209693295 and 209693304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311244 + ... + 311916.

It is an arithmetic number, because the mean of its divisors is an integer number (6817510).

Almost surely, 2209693340 is an apocalyptic number.

209693340 is a gapful number since it is divisible by the number (20) 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 209693340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327240480).

209693340 is an abundant number, since it is smaller than the sum of its proper divisors (444787620).

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

209693340 is a wasteful number, since it uses less digits than its factorization.

209693340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 209693340 is about 14480.7921054064. The cubic root of 209693340 is about 594.1027268512.

The spelling of 209693340 in words is "two hundred nine million, six hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 577 673 1154 1346 1731 2019 2308 2692 2885 3365 3462 4038 5193 5770 6057 6730 6924 8076 8655 10095 10386 11540 12114 13460 15579 17310 18171 20190 20772 24228 25965 30285 31158 34620 36342 40380 51930 60570 62316 72684 77895 90855 103860 121140 155790 181710 311580 363420 388321 776642 1164963 1553284 1941605 2329926 3494889 3883210 4659852 5824815 6989778 7766420 10484667 11649630 13979556 17474445 20969334 23299260 34948890 41938668 52423335 69897780 104846670 209693340