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12349540 = 225788211
BaseRepresentation
bin101111000111…
…000001100100
3212020102101101
4233013001210
511130141130
61120405444
7206653330
oct57070144
925212341
1012349540
116a75435
124176884
132735128
1418d67c0
15113e1ca
hexbc7064

12349540 has 24 divisors (see below), whose sum is σ = 29639232. Its totient is φ = 4234080.

The previous prime is 12349537. The next prime is 12349541. The reversal of 12349540 is 4594321.

It is a super-2 number, since 2×123495402 = 305022276423200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12349499 and 12349508.

It is not an unprimeable number, because it can be changed into a prime (12349541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43966 + ... + 44245.

It is an arithmetic number, because the mean of its divisors is an integer number (1234968).

Almost surely, 212349540 is an apocalyptic number.

12349540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12349540 is an abundant number, since it is smaller than the sum of its proper divisors (17289692).

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

12349540 is a wasteful number, since it uses less digits than its factorization.

12349540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88227 (or 88225 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 12349540 is about 3514.1912298565. The cubic root of 12349540 is about 231.1445158062.

The spelling of 12349540 in words is "twelve million, three hundred forty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 88211 176422 352844 441055 617477 882110 1234954 1764220 2469908 3087385 6174770 12349540