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13202140 = 2257181521
BaseRepresentation
bin110010010111…
…001011011100
3220211201221011
4302113023130
511334432030
61150545004
7220134130
oct62271334
926751834
1013202140
1174a7a66
124508164
132973223
141a793c0
15125bb2a
hexc972dc

13202140 has 48 divisors (see below), whose sum is σ = 31921344. Its totient is φ = 4492800.

The previous prime is 13202117. The next prime is 13202143. The reversal of 13202140 is 4120231.

It is a self number, because there is not a number n which added to its sum of digits gives 13202140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202143) 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 15 ways as a sum of consecutive naturals, for example, 25080 + ... + 25600.

It is an arithmetic number, because the mean of its divisors is an integer number (665028).

Almost surely, 213202140 is an apocalyptic number.

13202140 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 13202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960672).

13202140 is an abundant number, since it is smaller than the sum of its proper divisors (18719204).

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

13202140 is a wasteful number, since it uses less digits than its factorization.

13202140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13202140 is about 3633.4749207886. The cubic root of 13202140 is about 236.3459209423.

Adding to 13202140 its reverse (4120231), we get a palindrome (17322371).

The spelling of 13202140 in words is "thirteen million, two hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 521 724 905 1042 1267 1810 2084 2534 2605 3620 3647 5068 5210 6335 7294 10420 12670 14588 18235 25340 36470 72940 94301 188602 377204 471505 660107 943010 1320214 1886020 2640428 3300535 6601070 13202140