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206136 = 23327409
BaseRepresentation
bin110010010100111000
3101110202200
4302110320
523044021
64230200
71515660
oct622470
9343680
10206136
11130967
129b360
1372a98
14551a0
1541126
hex32538

206136 has 48 divisors (see below), whose sum is σ = 639600. Its totient is φ = 58752.

The previous prime is 206123. The next prime is 206153. The reversal of 206136 is 631602.

206136 = T223 + T224 + ... + T230.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

206136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (13325).

2206136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319800).

206136 is an abundant number, since it is smaller than the sum of its proper divisors (433464).

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

206136 is a wasteful number, since it uses less digits than its factorization.

206136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 206136 is about 454.0220258974. The cubic root of 206136 is about 59.0723998690.

Adding to 206136 its reverse (631602), we get a palindrome (837738).

The spelling of 206136 in words is "two hundred six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 409 504 818 1227 1636 2454 2863 3272 3681 4908 5726 7362 8589 9816 11452 14724 17178 22904 25767 29448 34356 51534 68712 103068 206136