Search a number
-
+
11466972 = 223211231259
BaseRepresentation
bin101011101111…
…100011011100
3210120120201200
4223233203130
510413420342
61045435500
7166316256
oct53574334
923516650
1011466972
116522340
123a0bb90
1324b64ba
141746cd6
15101794c
hexaef8dc

11466972 has 72 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3321120.

The previous prime is 11466947. The next prime is 11466989. The reversal of 11466972 is 27966411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8479 + ... + 9737.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 211466972 is an apocalyptic number.

11466972 is a gapful number since it is divisible by the number (12) 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 11466972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

11466972 is an abundant number, since it is smaller than the sum of its proper divisors (21555108).

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

11466972 is a wasteful number, since it uses less digits than its factorization.

11466972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1298 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 11466972 is about 3386.2917771509. The cubic root of 11466972 is about 225.5015773329.

It can be divided in two parts, 1146 and 6972, that added together give a palindrome (8118).

The spelling of 11466972 in words is "eleven million, four hundred sixty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1259 1518 2277 2518 3036 3777 4554 5036 7554 9108 11331 13849 15108 22662 27698 28957 41547 45324 55396 57914 83094 86871 115828 124641 166188 173742 249282 260613 318527 347484 498564 521226 637054 955581 1042452 1274108 1911162 2866743 3822324 5733486 11466972