Search a number
-
+
13202910 = 23257191103
BaseRepresentation
bin110010010111…
…010111011110
3220211202222200
4302113113132
511334443120
61150552330
7220136310
oct62272736
926752880
1013202910
1174a85a6
1245086a6
132973696
141a797b0
15125be90
hexc975de

13202910 has 96 divisors (see below), whose sum is σ = 41333760. Its totient is φ = 2856384.

The previous prime is 13202909. The next prime is 13202921. The reversal of 13202910 is 1920231.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11419 + ... + 12521.

It is an arithmetic number, because the mean of its divisors is an integer number (430560).

Almost surely, 213202910 is an apocalyptic number.

13202910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20666880).

13202910 is an abundant number, since it is smaller than the sum of its proper divisors (28130850).

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

13202910 is a wasteful number, since it uses less digits than its factorization.

13202910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13202910 is about 3633.5808784173. The cubic root of 13202910 is about 236.3505157232.

The spelling of 13202910 in words is "thirteen million, two hundred two thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1103 1197 1330 1710 1995 2206 2394 3309 3990 5515 5985 6618 7721 9927 11030 11970 15442 16545 19854 20957 23163 33090 38605 41914 46326 49635 62871 69489 77210 99270 104785 115815 125742 138978 146699 188613 209570 231630 293398 314355 347445 377226 440097 628710 694890 733495 880194 943065 1320291 1466990 1886130 2200485 2640582 4400970 6601455 13202910