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12013164 = 2233412713
BaseRepresentation
bin101101110100…
…111001101100
3211121022222000
4231310321230
511033410124
61105252300
7204052542
oct55647154
924538860
1012013164
116865739
124034090
132647ca7
141849d92
1510c46c9
hexb74e6c

12013164 has 48 divisors (see below), whose sum is σ = 31916640. Its totient is φ = 3905280.

The previous prime is 12013117. The next prime is 12013189. The reversal of 12013164 is 46131021.

It is a happy number.

It is a super-2 number, since 2×120131642 = 288632218581792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3072 + ... + 5784.

It is an arithmetic number, because the mean of its divisors is an integer number (664930).

Almost surely, 212013164 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 12013164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958320).

12013164 is an abundant number, since it is smaller than the sum of its proper divisors (19903476).

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

12013164 is a wasteful number, since it uses less digits than its factorization.

12013164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12013164 is about 3466.0011540679. The cubic root of 12013164 is about 229.0265346851.

Adding to 12013164 its reverse (46131021), we get a palindrome (58144185).

The spelling of 12013164 in words is "twelve million, thirteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 2713 4428 5426 8139 10852 16278 24417 32556 48834 73251 97668 111233 146502 222466 293004 333699 444932 667398 1001097 1334796 2002194 3003291 4004388 6006582 12013164