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13202340 = 22351937313
BaseRepresentation
bin110010010111…
…001110100100
3220211202012120
4302113032210
511334433330
61150545540
7220134534
oct62271644
926752176
1013202340
1174a8128
1245082b0
132973348
141a794c4
15125bc10
hexc973a4

13202340 has 96 divisors (see below), whose sum is σ = 40091520. Its totient is φ = 3234816.

The previous prime is 13202339. The next prime is 13202341. The reversal of 13202340 is 4320231.

13202340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13202339) and next prime (13202341).

It is a super-4 number, since 4×132023404 (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42024 + ... + 42336.

It is an arithmetic number, because the mean of its divisors is an integer number (417620).

Almost surely, 213202340 is an apocalyptic number.

13202340 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 13202340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20045760).

13202340 is an abundant number, since it is smaller than the sum of its proper divisors (26889180).

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

13202340 is a wasteful number, since it uses less digits than its factorization.

13202340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13202340 is about 3633.5024425477. The cubic root of 13202340 is about 236.3471144091.

Adding to 13202340 its reverse (4320231), we get a palindrome (17522571).

The spelling of 13202340 in words is "thirteen million, two hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 313 370 380 444 555 570 626 703 740 939 1110 1140 1252 1406 1565 1878 2109 2220 2812 3130 3515 3756 4218 4695 5947 6260 7030 8436 9390 10545 11581 11894 14060 17841 18780 21090 23162 23788 29735 34743 35682 42180 46324 57905 59470 69486 71364 89205 115810 118940 138972 173715 178410 220039 231620 347430 356820 440078 660117 694860 880156 1100195 1320234 2200390 2640468 3300585 4400780 6601170 13202340