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13041380 = 22511217317
BaseRepresentation
bin110001101111…
…111011100100
3220112120102002
4301233323210
511314311010
61143304432
7215564342
oct61577344
926476362
1013041380
1173a8200
12444b118
132917cc1
141a36992
1512291a5
hexc6fee4

13041380 has 72 divisors (see below), whose sum is σ = 31974264. Its totient is φ = 4449280.

The previous prime is 13041367. The next prime is 13041383. The reversal of 13041380 is 8314031.

13041380 = T89 + T90 + ... + T428.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 495616 + 12545764 = 704^2 + 3542^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13041383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40982 + ... + 41298.

It is an arithmetic number, because the mean of its divisors is an integer number (444087).

Almost surely, 213041380 is an apocalyptic number.

13041380 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 13041380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987132).

13041380 is an abundant number, since it is smaller than the sum of its proper divisors (18932884).

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

13041380 is a wasteful number, since it uses less digits than its factorization.

13041380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13041380 is about 3611.2850898261. The cubic root of 13041380 is about 235.3826871711.

The spelling of 13041380 in words is "thirteen million, forty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 317 340 374 484 605 634 748 935 1210 1268 1585 1870 2057 2420 3170 3487 3740 4114 5389 6340 6974 8228 10285 10778 13948 17435 20570 21556 26945 34870 38357 41140 53890 59279 69740 76714 107780 118558 153428 191785 237116 296395 383570 592790 652069 767140 1185580 1304138 2608276 3260345 6520690 13041380