Search a number
-
+
11202640 = 245233601
BaseRepresentation
bin101010101111…
…000001010000
3210002011010121
4222233001100
510331441030
61040040024
7164135521
oct52570120
923064117
1011202640
116361789
123903014
1324230a7
1416b8848
15eb447a
hexaaf050

11202640 has 40 divisors (see below), whose sum is σ = 26201448. Its totient is φ = 4454400.

The previous prime is 11202637. The next prime is 11202641. The reversal of 11202640 is 4620211.

It can be written as a sum of positive squares in 4 ways, for example, as 1317904 + 9884736 = 1148^2 + 3144^2 .

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 (16).

11202640 is a modest number, since divided by 2640 gives 1120 as remainder.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18340 + ... + 18940.

Almost surely, 211202640 is an apocalyptic number.

11202640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202640 is an abundant number, since it is smaller than the sum of its proper divisors (14998808).

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

11202640 is a wasteful number, since it uses less digits than its factorization.

11202640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 11202640 is about 3347.0345083372. The cubic root of 11202640 is about 223.7553664329.

Adding to 11202640 its reverse (4620211), we get a palindrome (15822851).

The spelling of 11202640 in words is "eleven million, two hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 466 601 932 1165 1202 1864 2330 2404 3005 3728 4660 4808 6010 9320 9616 12020 18640 24040 48080 140033 280066 560132 700165 1120264 1400330 2240528 2800660 5601320 11202640