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12270752 = 251322269
BaseRepresentation
bin101110110011…
…110010100000
3212002102022022
4232303302200
511120131002
61115001012
7206204534
oct56636240
925072268
1012270752
116a2121a
124139168
132708300
1418b5bc4
151125ba2
hexbb3ca0

12270752 has 36 divisors (see below), whose sum is σ = 26170830. Its totient is φ = 5660928.

The previous prime is 12270749. The next prime is 12270757. The reversal of 12270752 is 25707221.

12270752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2808976 + 9461776 = 1676^2 + 3076^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12270757) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4274 + ... + 6542.

Almost surely, 212270752 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 12270752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13085415).

12270752 is an abundant number, since it is smaller than the sum of its proper divisors (13900078).

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

12270752 is a wasteful number, since it uses less digits than its factorization.

12270752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 12270752 is about 3502.9633169647. The cubic root of 12270752 is about 230.6519122880.

Adding to 12270752 its reverse (25707221), we get a palindrome (37977973).

The spelling of 12270752 in words is "twelve million, two hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2269 2704 4538 5408 9076 18152 29497 36304 58994 72608 117988 235976 383461 471952 766922 943904 1533844 3067688 6135376 12270752