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13101240 = 2335432539
BaseRepresentation
bin110001111110…
…100010111000
3220122121112010
4301332202320
511323214430
61144445520
7216234015
oct61764270
926577463
1013101240
117439179
1244798a0
132939319
141a5070c
15123bcb0
hexc7e8b8

13101240 has 64 divisors (see below), whose sum is σ = 40233600. Its totient is φ = 3411072.

The previous prime is 13101233. The next prime is 13101259. The reversal of 13101240 is 4210131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3891 + ... + 6429.

It is an arithmetic number, because the mean of its divisors is an integer number (628650).

Almost surely, 213101240 is an apocalyptic number.

13101240 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 13101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116800).

13101240 is an abundant number, since it is smaller than the sum of its proper divisors (27132360).

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

13101240 is a wasteful number, since it uses less digits than its factorization.

13101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13101240 is about 3619.5635095962. The cubic root of 13101240 is about 235.7422734706.

Adding to 13101240 its reverse (4210131), we get a palindrome (17311371).

The spelling of 13101240 in words is "thirteen million, one hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2539 2580 5078 5160 7617 10156 12695 15234 20312 25390 30468 38085 50780 60936 76170 101560 109177 152340 218354 304680 327531 436708 545885 655062 873416 1091770 1310124 1637655 2183540 2620248 3275310 4367080 6550620 13101240