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11204040 = 2335731279
BaseRepresentation
bin101010101111…
…010111001000
3210002020001110
4222233113020
510332012130
61040050320
7164142561
oct52572710
923066043
1011204040
116362841
1239039a0
132423913
1416b9168
15eb4ab0
hexaaf5c8

11204040 has 64 divisors (see below), whose sum is σ = 34099200. Its totient is φ = 2944512.

The previous prime is 11204033. The next prime is 11204057. The reversal of 11204040 is 4040211.

It is a Harshad number since it is a multiple of its sum of digits (12).

11204040 is a modest number, since divided by 4040 gives 1120 as remainder.

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 15 ways as a sum of consecutive naturals, for example, 8121 + ... + 9399.

It is an arithmetic number, because the mean of its divisors is an integer number (532800).

Almost surely, 211204040 is an apocalyptic number.

11204040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17049600).

11204040 is an abundant number, since it is smaller than the sum of its proper divisors (22895160).

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

11204040 is a wasteful number, since it uses less digits than its factorization.

11204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11204040 is about 3347.2436421629. The cubic root of 11204040 is about 223.7646869878.

Adding to 11204040 its reverse (4040211), we get a palindrome (15244251).

The spelling of 11204040 in words is "eleven million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1279 1460 1752 2190 2558 2920 3837 4380 5116 6395 7674 8760 10232 12790 15348 19185 25580 30696 38370 51160 76740 93367 153480 186734 280101 373468 466835 560202 746936 933670 1120404 1400505 1867340 2240808 2801010 3734680 5602020 11204040