Search a number
-
+
12257040 = 243551071
BaseRepresentation
bin101110110000…
…011100010000
3212001201111110
4232300130100
511114211130
61114413320
7206116545
oct56603420
925051443
1012257040
116a11994
124131240
132701cb3
1418b0bcc
151121ab0
hexbb0710

12257040 has 40 divisors (see below), whose sum is σ = 37997568. Its totient is φ = 3268480.

The previous prime is 12257039. The next prime is 12257041. The reversal of 12257040 is 4075221.

It is an interprime number because it is at equal distance from previous prime (12257039) and next prime (12257041).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12256998 and 12257016.

It is not an unprimeable number, because it can be changed into a prime (12257041) 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, 25296 + ... + 25775.

Almost surely, 212257040 is an apocalyptic number.

12257040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12257040 is an abundant number, since it is smaller than the sum of its proper divisors (25740528).

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

12257040 is a wasteful number, since it uses less digits than its factorization.

12257040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51087 (or 51081 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 12257040 is about 3501.0055698328. The cubic root of 12257040 is about 230.5659659713.

The spelling of 12257040 in words is "twelve million, two hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 51071 102142 153213 204284 255355 306426 408568 510710 612852 766065 817136 1021420 1225704 1532130 2042840 2451408 3064260 4085680 6128520 12257040