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206888136 = 233713432203
BaseRepresentation
bin11000101010011…
…01110011001000
3112102022000011120
430111031303020
5410430410021
632310155240
75061343260
oct1425156310
9472260146
10206888136
11a6868134
1259352b20
1333b29620
141d6967a0
151326a2c6
hexc54dcc8

206888136 has 128 divisors (see below), whose sum is σ = 651678720. Its totient is φ = 53270784.

The previous prime is 206888089. The next prime is 206888153. The reversal of 206888136 is 631888602.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92811 + ... + 95013.

It is an arithmetic number, because the mean of its divisors is an integer number (5091240).

Almost surely, 2206888136 is an apocalyptic number.

206888136 is a gapful number since it is divisible by the number (26) 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 206888136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325839360).

206888136 is an abundant number, since it is smaller than the sum of its proper divisors (444790584).

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

206888136 is a wasteful number, since it uses less digits than its factorization.

206888136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 206888136 is about 14383.6065018479. The cubic root of 206888136 is about 591.4415920826.

The spelling of 206888136 in words is "two hundred six million, eight hundred eighty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 43 52 56 78 84 86 91 104 129 156 168 172 182 258 273 301 312 344 364 516 546 559 602 728 903 1032 1092 1118 1204 1677 1806 2184 2203 2236 2408 3354 3612 3913 4406 4472 6609 6708 7224 7826 8812 11739 13218 13416 15421 15652 17624 23478 26436 28639 30842 31304 46263 46956 52872 57278 61684 85917 92526 93912 94729 114556 123368 171834 185052 189458 200473 229112 284187 343668 370104 378916 400946 568374 601419 663103 687336 757832 801892 1136748 1202838 1231477 1326206 1603784 1989309 2273496 2405676 2462954 2652412 3694431 3978618 4811352 4925908 5304824 7388862 7957236 8620339 9851816 14777724 15914472 17240678 25861017 29555448 34481356 51722034 68962712 103444068 206888136