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202681038 = 23717319157
BaseRepresentation
bin11000001010010…
…10101011001110
3112010101021010010
430011022223032
5403341243123
632040054050
75010521550
oct1405125316
9463337103
10202681038
11a445429a
1257a64326
1332cb5711
141ccbd4d0
1512bd8993
hexc14aace

202681038 has 64 divisors (see below), whose sum is σ = 506400768. Its totient is φ = 52738560.

The previous prime is 202681013. The next prime is 202681111. The reversal of 202681038 is 830186202.

It is a junction number, because it is equal to n+sod(n) for n = 202680996 and 202681014.

It is a congruent number.

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, 17556 + ... + 26712.

It is an arithmetic number, because the mean of its divisors is an integer number (7912512).

Almost surely, 2202681038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202681038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253200384).

202681038 is an abundant number, since it is smaller than the sum of its proper divisors (303719730).

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

202681038 is a wasteful number, since it uses less digits than its factorization.

202681038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9217.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 202681038 is about 14236.6090766025. The cubic root of 202681038 is about 587.4050915346.

The spelling of 202681038 in words is "two hundred two million, six hundred eighty-one thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 651 714 1054 1302 1581 3162 3689 7378 9157 11067 18314 22134 27471 54942 64099 128198 155669 192297 283867 311338 384594 467007 567734 851601 934014 1089683 1703202 1987069 2179366 3269049 3974138 4825739 5961207 6538098 9651478 11922414 14477217 28954434 33780173 67560346 101340519 202681038