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12091040 = 255135813
BaseRepresentation
bin101110000111…
…111010100000
3211202021210022
4232013322200
511043403130
61111053012
7204525563
oct56077240
924667708
1012091040
1169091a5
124071168
132674580
14186a4da
1510dc7e5
hexb87ea0

12091040 has 48 divisors (see below), whose sum is σ = 30767688. Its totient is φ = 4463616.

The previous prime is 12091033. The next prime is 12091061. The reversal of 12091040 is 4019021.

It is a happy number.

12091040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8690704 + 3400336 = 2948^2 + 1844^2 .

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, 827 + ... + 4986.

Almost surely, 212091040 is an apocalyptic number.

12091040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12091040 is an abundant number, since it is smaller than the sum of its proper divisors (18676648).

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

12091040 is a wasteful number, since it uses less digits than its factorization.

12091040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 12091040 is about 3477.2172782269. The cubic root of 12091040 is about 229.5203615232.

The spelling of 12091040 in words is "twelve million, ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 5813 11626 23252 29065 46504 58130 75569 93008 116260 151138 186016 232520 302276 377845 465040 604552 755690 930080 1209104 1511380 2418208 3022760 6045520 12091040