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12113940 = 22351011999
BaseRepresentation
bin101110001101…
…100000010100
3211210110012110
4232031200110
511100121230
61111351020
7204652416
oct56154024
924713173
1012113940
116924423
124082470
132681b17
1418749b6
1510e44b0
hexb8d814

12113940 has 48 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 3196800.

The previous prime is 12113923. The next prime is 12113947. The reversal of 12113940 is 4931121.

It can be divided in two parts, 1211 and 3940, that added together give a triangular number (5151 = T101).

It is a super-3 number, since 3×121139403 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5061 + ... + 7059.

It is an arithmetic number, because the mean of its divisors is an integer number (714000).

Almost surely, 212113940 is an apocalyptic number.

12113940 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 12113940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).

12113940 is an abundant number, since it is smaller than the sum of its proper divisors (22158060).

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

12113940 is a wasteful number, since it uses less digits than its factorization.

12113940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 12113940 is about 3480.5085835263. The cubic root of 12113940 is about 229.6651712757.

The spelling of 12113940 in words is "twelve million, one hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 1999 2020 3030 3998 5997 6060 7996 9995 11994 19990 23988 29985 39980 59970 119940 201899 403798 605697 807596 1009495 1211394 2018990 2422788 3028485 4037980 6056970 12113940