Search a number
-
+
12010460 = 2257112709
BaseRepresentation
bin101101110100…
…001111011100
3211121012020212
4231310033130
511033313320
61105231552
7204041630
oct55641734
924535225
1012010460
116863700
1240325b8
1326469a7
141848dc0
1510c39c5
hexb743dc

12010460 has 72 divisors (see below), whose sum is σ = 31728480. Its totient is φ = 3738240.

The previous prime is 12010447. The next prime is 12010463. The reversal of 12010460 is 6401021.

12010460 = T200 + T201 + ... + T430.

It is a super-2 number, since 2×120104602 = 288502298823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16586 + ... + 17294.

Almost surely, 212010460 is an apocalyptic number.

12010460 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 12010460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864240).

12010460 is an abundant number, since it is smaller than the sum of its proper divisors (19718020).

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

12010460 is a wasteful number, since it uses less digits than its factorization.

12010460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12010460 is about 3465.6110572307. The cubic root of 12010460 is about 229.0093498086.

Adding to 12010460 its reverse (6401021), we get a palindrome (18411481).

The spelling of 12010460 in words is "twelve million, ten thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 709 770 847 1210 1418 1540 1694 2420 2836 3388 3545 4235 4963 7090 7799 8470 9926 14180 15598 16940 19852 24815 31196 38995 49630 54593 77990 85789 99260 109186 155980 171578 218372 272965 343156 428945 545930 600523 857890 1091860 1201046 1715780 2402092 3002615 6005230 12010460