Search a number
-
+
11240420240 = 245720072179
BaseRepresentation
bin10100111011111101…
…10011001110010000
31002000100211111210202
422131332303032100
5141010021421430
65055213114332
7545355665330
oct123576631620
932010744722
1011240420240
114848a19105
1222184889a8
1310a199484a
14788bb50c0
1545bc2ed45
hex29dfb3390

11240420240 has 40 divisors (see below), whose sum is σ = 29867403840. Its totient is φ = 3853858176.

The previous prime is 11240420239. The next prime is 11240420249. The reversal of 11240420240 is 4202404211.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11240420249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10035530 + ... + 10036649.

It is an arithmetic number, because the mean of its divisors is an integer number (746685096).

Almost surely, 211240420240 is an apocalyptic number.

11240420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240420240 is an abundant number, since it is smaller than the sum of its proper divisors (18626983600).

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

11240420240 is a wasteful number, since it uses less digits than its factorization.

11240420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20072199 (or 20072193 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 11240420240 its reverse (4202404211), we get a palindrome (15442824451).

The spelling of 11240420240 in words is "eleven billion, two hundred forty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 20072179 40144358 80288716 100360895 140505253 160577432 200721790 281010506 321154864 401443580 562021012 702526265 802887160 1124042024 1405052530 1605774320 2248084048 2810105060 5620210120 11240420240