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12013760 = 265113413
BaseRepresentation
bin101101110101…
…000011000000
3211121100210002
4231311003000
511033420020
61105255132
7204054353
oct55650300
924540702
1012013760
116866130
1240344a8
132648345
14184a29a
1510c4975
hexb750c0

12013760 has 56 divisors (see below), whose sum is σ = 31217616. Its totient is φ = 4367360.

The previous prime is 12013759. The next prime is 12013763. The reversal of 12013760 is 6731021.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12013763) 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, 1814 + ... + 5226.

Almost surely, 212013760 is an apocalyptic number.

12013760 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 12013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15608808).

12013760 is an abundant number, since it is smaller than the sum of its proper divisors (19203856).

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

12013760 is a wasteful number, since it uses less digits than its factorization.

12013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 12013760 is about 3466.0871310456. The cubic root of 12013760 is about 229.0303221291.

Adding to 12013760 its reverse (6731021), we get a palindrome (18744781).

The spelling of 12013760 in words is "twelve million, thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3413 3520 6826 13652 17065 27304 34130 37543 54608 68260 75086 109216 136520 150172 187715 218432 273040 300344 375430 546080 600688 750860 1092160 1201376 1501720 2402752 3003440 6006880 12013760