Search a number
-
+
12053272 = 23711171151
BaseRepresentation
bin101101111110…
…101100011000
3211200100222111
4231332230120
511041201042
61110202104
7204310510
oct55765430
924610874
1012053272
116892890
124053334
13266031a
14185a840
1510d1517
hexb7eb18

12053272 has 64 divisors (see below), whose sum is σ = 29859840. Its totient is φ = 4416000.

The previous prime is 12053257. The next prime is 12053281. The reversal of 12053272 is 27235021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9897 + ... + 11047.

It is an arithmetic number, because the mean of its divisors is an integer number (466560).

Almost surely, 212053272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12053272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929920).

12053272 is an abundant number, since it is smaller than the sum of its proper divisors (17806568).

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

12053272 is a wasteful number, since it uses less digits than its factorization.

12053272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 12053272 is about 3471.7822512364. The cubic root of 12053272 is about 229.2811329572.

Adding to 12053272 its reverse (27235021), we get a palindrome (39288293).

The spelling of 12053272 in words is "twelve million, fifty-three thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1151 1309 1496 2302 2618 4604 5236 8057 9208 10472 12661 16114 19567 25322 32228 39134 50644 64456 78268 88627 101288 136969 156536 177254 215237 273938 354508 430474 547876 709016 860948 1095752 1506659 1721896 3013318 6026636 12053272