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206138856 = 233711331337
BaseRepresentation
bin11000100100101…
…10110111101000
3112100212221100110
430102112313220
5410232420411
632242134320
75052102630
oct1422266750
9470787313
10206138856
11a63a61a0
12590513a0
1333926571
141d53d6c0
151316d2a6
hexc496de8

206138856 has 128 divisors (see below), whose sum is σ = 646364160. Its totient is φ = 53222400.

The previous prime is 206138843. The next prime is 206138893. The reversal of 206138856 is 658831602.

It is a happy number.

206138856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611520 + ... + 611856.

It is an arithmetic number, because the mean of its divisors is an integer number (5049720).

Almost surely, 2206138856 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 206138856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323182080).

206138856 is an abundant number, since it is smaller than the sum of its proper divisors (440225304).

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

206138856 is a wasteful number, since it uses less digits than its factorization.

206138856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 206138856 is about 14357.5365575018. The cubic root of 206138856 is about 590.7267268244.

The spelling of 206138856 in words is "two hundred six million, one hundred thirty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 331 337 462 616 662 674 924 993 1011 1324 1348 1848 1986 2022 2317 2359 2648 2696 3641 3707 3972 4044 4634 4718 6951 7077 7282 7414 7944 8088 9268 9436 10923 11121 13902 14154 14564 14828 18536 18872 21846 22242 25487 25949 27804 28308 29128 29656 43692 44484 50974 51898 55608 56616 76461 77847 87384 88968 101948 103796 111547 152922 155694 203896 207592 223094 305844 311388 334641 446188 611688 622776 669282 780829 892376 1227017 1338564 1561658 2342487 2454034 2677128 3123316 3681051 4684974 4908068 6246632 7362102 8589119 9369948 9816136 14724204 17178238 18739896 25767357 29448408 34356476 51534714 68712952 103069428 206138856