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12013104 = 2431072339
BaseRepresentation
bin101101110100…
…111000110000
3211121022212210
4231310320300
511033404404
61105252120
7204052425
oct55647060
924538783
1012013104
116865694
124034040
132647c5c
141849d4c
1510c4689
hexb74e30

12013104 has 40 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 3965248.

The previous prime is 12013103. The next prime is 12013109. The reversal of 12013104 is 40131021.

It is a happy number.

12013104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12013104.

It is not an unprimeable number, because it can be changed into a prime (12013103) 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, 3967 + ... + 6305.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 212013104 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 12013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

12013104 is an abundant number, since it is smaller than the sum of its proper divisors (19324176).

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

12013104 is a wasteful number, since it uses less digits than its factorization.

12013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12013104 is about 3465.9924985493. The cubic root of 12013104 is about 229.0261533919.

Adding to 12013104 its reverse (40131021), we get a palindrome (52144125).

The spelling of 12013104 in words is "twelve million, thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2339 2568 4678 5136 7017 9356 14034 18712 28068 37424 56136 112272 250273 500546 750819 1001092 1501638 2002184 3003276 4004368 6006552 12013104