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13540140 = 2232575223
BaseRepresentation
bin110011101001…
…101100101100
3221110220120200
4303221230230
511431241030
61202113500
7223042425
oct63515454
927426520
1013540140
1177089a9
12464b890
132a61023
141b2664c
1512c6d60
hexce9b2c

13540140 has 36 divisors (see below), whose sum is σ = 41072304. Its totient is φ = 3610656.

The previous prime is 13540139. The next prime is 13540147. The reversal of 13540140 is 4104531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13540147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37432 + ... + 37791.

Almost surely, 213540140 is an apocalyptic number.

13540140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13540140 is an abundant number, since it is smaller than the sum of its proper divisors (27532164).

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

13540140 is a wasteful number, since it uses less digits than its factorization.

13540140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75238 (or 75233 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13540140 is about 3679.6929219705. The cubic root of 13540140 is about 238.3459179080.

Adding to 13540140 its reverse (4104531), we get a palindrome (17644671).

The spelling of 13540140 in words is "thirteen million, five hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 75223 150446 225669 300892 376115 451338 677007 752230 902676 1128345 1354014 1504460 2256690 2708028 3385035 4513380 6770070 13540140