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13010140 = 22511134549
BaseRepresentation
bin110001101000…
…010011011100
3220110222120001
4301220103130
511312311030
61142504044
7215404303
oct61502334
926428501
1013010140
117386790
124435024
132906a10
141a2943a
15121ecca
hexc684dc

13010140 has 48 divisors (see below), whose sum is σ = 32104800. Its totient is φ = 4366080.

The previous prime is 13010059. The next prime is 13010143. The reversal of 13010140 is 4101031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010143) 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 15 ways as a sum of consecutive naturals, for example, 586 + ... + 5134.

It is an arithmetic number, because the mean of its divisors is an integer number (668850).

Almost surely, 213010140 is an apocalyptic number.

13010140 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 13010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052400).

13010140 is an abundant number, since it is smaller than the sum of its proper divisors (19094660).

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

13010140 is a wasteful number, since it uses less digits than its factorization.

13010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 13010140 is about 3606.9571663661. The cubic root of 13010140 is about 235.1945875858.

Adding to 13010140 its reverse (4101031), we get a palindrome (17111171).

The spelling of 13010140 in words is "thirteen million, ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 4549 9098 18196 22745 45490 50039 59137 90980 100078 118274 200156 236548 250195 295685 500390 591370 650507 1000780 1182740 1301014 2602028 3252535 6505070 13010140