Search a number
-
+
13211040 = 2535171619
BaseRepresentation
bin110010011001…
…010110100000
3220212012010210
4302121112200
511340223130
61151054120
7220202103
oct62312640
926765123
1013211040
117503717
124511340
1329772ab
141a7c73a
15125e5b0
hexc995a0

13211040 has 96 divisors (see below), whose sum is σ = 44089920. Its totient is φ = 3313664.

The previous prime is 13210937. The next prime is 13211059. The reversal of 13211040 is 4011231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7351 + ... + 8969.

It is an arithmetic number, because the mean of its divisors is an integer number (459270).

Almost surely, 213211040 is an apocalyptic number.

13211040 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 13211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22044960).

13211040 is an abundant number, since it is smaller than the sum of its proper divisors (30878880).

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

13211040 is a wasteful number, since it uses less digits than its factorization.

13211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1646 counting only the distinct ones).

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

The square root of 13211040 is about 3634.6994373676. The cubic root of 13211040 is about 236.3990185512.

Adding to 13211040 its reverse (4011231), we get a palindrome (17222271).

The spelling of 13211040 in words is "thirteen million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1619 1632 2040 2720 3238 4080 4857 6476 8095 8160 9714 12952 16190 19428 24285 25904 27523 32380 38856 48570 51808 55046 64760 77712 82569 97140 110092 129520 137615 155424 165138 194280 220184 259040 275230 330276 388560 412845 440368 550460 660552 777120 825690 880736 1100920 1321104 1651380 2201840 2642208 3302760 4403680 6605520 13211040