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209806704 = 24327120521
BaseRepresentation
bin11001000000101…
…10010101110000
3112121210021200200
430200112111300
5412202303304
632452515200
75125220232
oct1440262560
9477707620
10209806704
11a8480978
125a31bb00
133460bba3
141dc16252
1513644e39
hexc816570

209806704 has 60 divisors (see below), whose sum is σ = 595466352. Its totient is φ = 68947200.

The previous prime is 209806703. The next prime is 209806711. The reversal of 209806704 is 407608902.

209806704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209806703) 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 11 ways as a sum of consecutive naturals, for example, 37 + ... + 20484.

Almost surely, 2209806704 is an apocalyptic number.

209806704 is a gapful number since it is divisible by the number (24) 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 209806704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297733176).

209806704 is an abundant number, since it is smaller than the sum of its proper divisors (385659648).

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

209806704 is a wasteful number, since it uses less digits than its factorization.

209806704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20606 (or 20597 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 209806704 is about 14484.7058651531. The cubic root of 209806704 is about 594.2097684456.

The spelling of 209806704 in words is "two hundred nine million, eight hundred six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 20521 41042 61563 82084 123126 164168 184689 246252 328336 369378 492504 738756 985008 1456991 1477512 2913982 2955024 4370973 5827964 8741946 11655928 13112919 17483892 23311856 26225838 34967784 52451676 69935568 104903352 209806704