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12010960 = 2451311549
BaseRepresentation
bin101101110100…
…010111010000
3211121012221101
4231310113100
511033322320
61105234144
7204043243
oct55642720
924535841
1012010960
116864015
124032954
132646ca0
14184925a
1510c3c0a
hexb745d0

12010960 has 40 divisors (see below), whose sum is σ = 30076200. Its totient is φ = 4434432.

The previous prime is 12010951. The next prime is 12010963. The reversal of 12010960 is 6901021.

12010960 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 4 ways, for example, as 2050624 + 9960336 = 1432^2 + 3156^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4735 + ... + 6814.

It is an arithmetic number, because the mean of its divisors is an integer number (751905).

Almost surely, 212010960 is an apocalyptic number.

12010960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010960 is an abundant number, since it is smaller than the sum of its proper divisors (18065240).

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

12010960 is a wasteful number, since it uses less digits than its factorization.

12010960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11575 (or 11569 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 12010960 is about 3465.6831938306. The cubic root of 12010960 is about 229.0125276799.

Adding to 12010960 its reverse (6901021), we get a palindrome (18911981).

The spelling of 12010960 in words is "twelve million, ten thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 11549 23098 46196 57745 92392 115490 150137 184784 230980 300274 461960 600548 750685 923920 1201096 1501370 2402192 3002740 6005480 12010960