Search a number
-
+
35242240 = 285112503
BaseRepresentation
bin1000011001110…
…0000100000000
32110022111021011
42012130010000
533010222430
63255210304
7605361025
oct206340400
973274234
1035242240
1118991020
12b976994
1373bc0c7
14497554c
15316222a
hex219c100

35242240 has 72 divisors (see below), whose sum is σ = 92127168. Its totient is φ = 12810240.

The previous prime is 35242237. The next prime is 35242253. The reversal of 35242240 is 4224253.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12829 + ... + 15331.

It is an arithmetic number, because the mean of its divisors is an integer number (1279544).

Almost surely, 235242240 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 35242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46063584).

35242240 is an abundant number, since it is smaller than the sum of its proper divisors (56884928).

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

35242240 is a wasteful number, since it uses less digits than its factorization.

35242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 35242240 is about 5936.5174976580. The cubic root of 35242240 is about 327.8595472419.

Adding to 35242240 its reverse (4224253), we get a palindrome (39466493).

The spelling of 35242240 in words is "thirty-five million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2503 2816 3520 5006 7040 10012 12515 14080 20024 25030 27533 40048 50060 55066 80096 100120 110132 137665 160192 200240 220264 275330 320384 400480 440528 550660 640768 800960 881056 1101320 1601920 1762112 2202640 3203840 3524224 4405280 7048448 8810560 17621120 35242240