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209374680 = 233519131701
BaseRepresentation
bin11000111101011…
…00110111011000
3112120222100001210
430132230313120
5412044442210
632435343120
75121440544
oct1436546730
9476870053
10209374680
11a8206329
125a151aa0
13344ba358
141db42a24
15135abe20
hexc7acdd8

209374680 has 128 divisors (see below), whose sum is σ = 667180800. Its totient is φ = 52416000.

The previous prime is 209374673. The next prime is 209374687. The reversal of 209374680 is 86473902.

209374680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (209374673) and next prime (209374687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209374687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298330 + ... + 299030.

It is an arithmetic number, because the mean of its divisors is an integer number (5212350).

Almost surely, 2209374680 is an apocalyptic number.

209374680 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 209374680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333590400).

209374680 is an abundant number, since it is smaller than the sum of its proper divisors (457806120).

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

209374680 is a wasteful number, since it uses less digits than its factorization.

209374680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 209374680 is about 14469.7850709677. The cubic root of 209374680 is about 593.8016320012.

The spelling of 209374680 in words is "two hundred nine million, three hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 131 152 190 228 262 285 380 393 456 524 570 655 701 760 786 1048 1140 1310 1402 1572 1965 2103 2280 2489 2620 2804 3144 3505 3930 4206 4978 5240 5608 7010 7467 7860 8412 9956 10515 12445 13319 14020 14934 15720 16824 19912 21030 24890 26638 28040 29868 37335 39957 42060 49780 53276 59736 66595 74670 79914 84120 91831 99560 106552 133190 149340 159828 183662 199785 266380 275493 298680 319656 367324 399570 459155 532760 550986 734648 799140 918310 1101972 1377465 1598280 1744789 1836620 2203944 2754930 3489578 3673240 5234367 5509860 6979156 8723945 10468734 11019720 13958312 17447890 20937468 26171835 34895780 41874936 52343670 69791560 104687340 209374680