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12114240 = 263512619
BaseRepresentation
bin101110001101…
…100101000000
3211210110121120
4232031211000
511100123430
61111352240
7204653325
oct56154500
924713546
1012114240
116924676
124082680
132681cb8
141874b4c
1510e4610
hexb8d940

12114240 has 56 divisors (see below), whose sum is σ = 38465760. Its totient is φ = 3230208.

The previous prime is 12114227. The next prime is 12114241. The reversal of 12114240 is 4241121.

It is a super-3 number, since 3×121142403 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114241) 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, 5350 + ... + 7269.

Almost surely, 212114240 is an apocalyptic number.

12114240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114240 is an abundant number, since it is smaller than the sum of its proper divisors (26351520).

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

12114240 is a wasteful number, since it uses less digits than its factorization.

12114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12639 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12114240 is about 3480.5516804093. The cubic root of 12114240 is about 229.6670671351.

Adding to 12114240 its reverse (4241121), we get a palindrome (16355361).

The spelling of 12114240 in words is "twelve million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 12619 25238 37857 50476 63095 75714 100952 126190 151428 189285 201904 252380 302856 378570 403808 504760 605712 757140 807616 1009520 1211424 1514280 2019040 2422848 3028560 4038080 6057120 12114240