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12039040 = 275131447
BaseRepresentation
bin101101111011…
…001110000000
3211122122110101
4231323032000
511040222130
61110012144
7204221146
oct55731600
924578411
1012039040
116883122
124047054
1326569c0
141855596
1510cc1ca
hexb7b380

12039040 has 64 divisors (see below), whose sum is σ = 31016160. Its totient is φ = 4442112.

The previous prime is 12039007. The next prime is 12039059. The reversal of 12039040 is 4093021.

12039040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12038999 and 12039017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7597 + ... + 9043.

Almost surely, 212039040 is an apocalyptic number.

12039040 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 12039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508080).

12039040 is an abundant number, since it is smaller than the sum of its proper divisors (18977120).

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

12039040 is a wasteful number, since it uses less digits than its factorization.

12039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 12039040 is about 3469.7319781217. The cubic root of 12039040 is about 229.1908555551.

The spelling of 12039040 in words is "twelve million, thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1447 1664 2080 2894 4160 5788 7235 8320 11576 14470 18811 23152 28940 37622 46304 57880 75244 92608 94055 115760 150488 185216 188110 231520 300976 376220 463040 601952 752440 926080 1203904 1504880 2407808 3009760 6019520 12039040