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11293220 = 22519113263
BaseRepresentation
bin101011000101…
…001000100100
3210020202101102
4223011020210
510342340340
61042015232
7164663561
oct53051044
923222342
1011293220
116413844
123947518
1324553a3
1416dd868
15ed1215
hexac5224

11293220 has 48 divisors (see below), whose sum is σ = 25280640. Its totient is φ = 4225536.

The previous prime is 11293213. The next prime is 11293223. The reversal of 11293220 is 2239211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11293192 and 11293201.

It is not an unprimeable number, because it can be changed into a prime (11293223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42809 + ... + 43071.

It is an arithmetic number, because the mean of its divisors is an integer number (526680).

Almost surely, 211293220 is an apocalyptic number.

11293220 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 11293220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640320).

11293220 is an abundant number, since it is smaller than the sum of its proper divisors (13987420).

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

11293220 is a wasteful number, since it uses less digits than its factorization.

11293220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 11293220 is about 3360.5386473005. The cubic root of 11293220 is about 224.3568133396.

The spelling of 11293220 in words is "eleven million, two hundred ninety-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 113 190 226 263 380 452 526 565 1052 1130 1315 2147 2260 2630 4294 4997 5260 8588 9994 10735 19988 21470 24985 29719 42940 49970 59438 99940 118876 148595 297190 564661 594380 1129322 2258644 2823305 5646610 11293220