Search a number
-
+
209005840 = 24515711663
BaseRepresentation
bin11000111010100…
…10110100010000
3112120021121010001
430131102310100
5412001141330
632423415344
75115343321
oct1435226420
9476247101
10209005840
11a7a841aa
1259bb4554
13343bb4c4
141da88448
15135379ca
hexc752d10

209005840 has 40 divisors (see below), whose sum is σ = 486540288. Its totient is φ = 83498880.

The previous prime is 209005831. The next prime is 209005861. The reversal of 209005840 is 48500902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 209005799 and 209005808.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124849 + ... + 126511.

Almost surely, 2209005840 is an apocalyptic number.

209005840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209005840 is an abundant number, since it is smaller than the sum of its proper divisors (277534448).

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

209005840 is a wasteful number, since it uses less digits than its factorization.

209005840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 209005840 is about 14457.0342740135. The cubic root of 209005840 is about 593.4527414713.

The spelling of 209005840 in words is "two hundred nine million, five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1571 1663 3142 3326 6284 6652 7855 8315 12568 13304 15710 16630 25136 26608 31420 33260 62840 66520 125680 133040 2612573 5225146 10450292 13062865 20900584 26125730 41801168 52251460 104502920 209005840