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35113134 = 23723163223
BaseRepresentation
bin1000010111110…
…0100010101110
32110001221011110
42011330202232
532442110014
63252332450
7604312440
oct205744256
973057143
1035113134
1118903021
12b914126
137375404
144940490
153138d59
hex217c8ae

35113134 has 64 divisors (see below), whose sum is σ = 84639744. Its totient is φ = 9494496.

The previous prime is 35113123. The next prime is 35113153. The reversal of 35113134 is 43131153.

35113134 is digitally balanced in base 2, 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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 35113134.

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, 157347 + ... + 157569.

It is an arithmetic number, because the mean of its divisors is an integer number (1322496).

Almost surely, 235113134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35113134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42319872).

35113134 is an abundant number, since it is smaller than the sum of its proper divisors (49526610).

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

35113134 is a wasteful number, since it uses less digits than its factorization.

35113134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

The product of its digits is 540, while the sum is 21.

The square root of 35113134 is about 5925.6336370046. The cubic root of 35113134 is about 327.4586984414.

Adding to 35113134 its reverse (43131153), we get a palindrome (78244287).

The spelling of 35113134 in words is "thirty-five million, one hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 163 223 322 326 446 483 489 669 966 978 1141 1338 1561 2282 3122 3423 3749 4683 5129 6846 7498 9366 10258 11247 15387 22494 26243 30774 35903 36349 52486 71806 72698 78729 107709 109047 157458 215418 218094 254443 508886 763329 836027 1526658 1672054 2508081 5016162 5852189 11704378 17556567 35113134