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209889940 = 225132693001
BaseRepresentation
bin11001000001010…
…10101010010100
3112121221111212111
430200222222110
5412212434230
632454400404
75126015011
oct1440525224
9477844774
10209889940
11a8528467
125a360104
133463aa40
141dc38708
151365e92a
hexc82aa94

209889940 has 48 divisors (see below), whose sum is σ = 476597520. Its totient is φ = 77184000.

The previous prime is 209889931. The next prime is 209889943. The reversal of 209889940 is 49988902.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 50069776 + 159820164 = 7076^2 + 12642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209889943) 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 15 ways as a sum of consecutive naturals, for example, 68440 + ... + 71440.

It is an arithmetic number, because the mean of its divisors is an integer number (9929115).

Almost surely, 2209889940 is an apocalyptic number.

209889940 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 209889940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238298760).

209889940 is an abundant number, since it is smaller than the sum of its proper divisors (266707580).

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

209889940 is a wasteful number, since it uses less digits than its factorization.

209889940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The square root of 209889940 is about 14487.5788177321. The cubic root of 209889940 is about 594.2883377574.

The spelling of 209889940 in words is "two hundred nine million, eight hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 269 538 1076 1345 2690 3001 3497 5380 6002 6994 12004 13988 15005 17485 30010 34970 39013 60020 69940 78026 156052 195065 390130 780260 807269 1614538 3229076 4036345 8072690 10494497 16145380 20988994 41977988 52472485 104944970 209889940