Search a number
-
+
11273310 = 233543971
BaseRepresentation
bin101011000000…
…010001011110
3210012202002000
4223000101132
510341221220
61041343130
7164551536
oct53002136
923182060
1011273310
1163aa894
123937aa6
1324492c9
1416d64c6
15eca390
hexac045e

11273310 has 64 divisors (see below), whose sum is σ = 30792960. Its totient is φ = 2933280.

The previous prime is 11273299. The next prime is 11273333. The reversal of 11273310 is 1337211.

It is a super-2 number, since 2×112733102 = 254175036712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11125 + ... + 12095.

It is an arithmetic number, because the mean of its divisors is an integer number (481140).

Almost surely, 211273310 is an apocalyptic number.

11273310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11273310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396480).

11273310 is an abundant number, since it is smaller than the sum of its proper divisors (19519650).

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

11273310 is a wasteful number, since it uses less digits than its factorization.

11273310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 11273310 is about 3357.5750177770. The cubic root of 11273310 is about 224.2248884086.

The spelling of 11273310 in words is "eleven million, two hundred seventy-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 971 1161 1290 1935 1942 2322 2913 3870 4855 5805 5826 8739 9710 11610 14565 17478 26217 29130 41753 43695 52434 83506 87390 125259 131085 208765 250518 262170 375777 417530 626295 751554 1127331 1252590 1878885 2254662 3757770 5636655 11273310