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11306220 = 2235188437
BaseRepresentation
bin101011001000…
…010011101100
3210021102012220
4223020103230
510343244340
61042155340
7165046512
oct53102354
923242186
1011306220
116422592
123952b50
13245b293
1417044b2
15ed4ed0
hexac84ec

11306220 has 24 divisors (see below), whose sum is σ = 31657584. Its totient is φ = 3014976.

The previous prime is 11306219. The next prime is 11306249. The reversal of 11306220 is 2260311.

It is a super-2 number, since 2×113062202 = 255661221376800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11306220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94159 + ... + 94278.

It is an arithmetic number, because the mean of its divisors is an integer number (1319066).

Almost surely, 211306220 is an apocalyptic number.

11306220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11306220 is an abundant number, since it is smaller than the sum of its proper divisors (20351364).

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

11306220 is a wasteful number, since it uses less digits than its factorization.

11306220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188449 (or 188447 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11306220 is about 3362.4723047187. The cubic root of 11306220 is about 224.4428685167.

Adding to 11306220 its reverse (2260311), we get a palindrome (13566531).

The spelling of 11306220 in words is "eleven million, three hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 188437 376874 565311 753748 942185 1130622 1884370 2261244 2826555 3768740 5653110 11306220