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13067520 = 28354183
BaseRepresentation
bin110001110110…
…010100000000
3220120220021020
4301312110000
511321130040
61144025440
7216033504
oct61662400
926526236
1013067520
117415904
124462280
132926b7b
141a42304
151231cd0
hexc76500

13067520 has 144 divisors (see below), whose sum is σ = 43267392. Its totient is φ = 3358720.

The previous prime is 13067491. The next prime is 13067531. The reversal of 13067520 is 2576031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a congruent number.

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, 157399 + ... + 157481.

It is an arithmetic number, because the mean of its divisors is an integer number (300468).

Almost surely, 213067520 is an apocalyptic number.

13067520 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 13067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21633696).

13067520 is an abundant number, since it is smaller than the sum of its proper divisors (30199872).

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

13067520 is an equidigital number, since it uses as much as digits as its factorization.

13067520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 13067520 is about 3614.9024883114. The cubic root of 13067520 is about 235.5398483784.

The spelling of 13067520 in words is "thirteen million, sixty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 83 96 120 123 128 160 164 166 192 205 240 246 249 256 320 328 332 384 410 415 480 492 498 615 640 656 664 768 820 830 960 984 996 1230 1245 1280 1312 1328 1640 1660 1920 1968 1992 2460 2490 2624 2656 3280 3320 3403 3840 3936 3984 4920 4980 5248 5312 6560 6640 6806 7872 7968 9840 9960 10209 10496 10624 13120 13280 13612 15744 15936 17015 19680 19920 20418 21248 26240 26560 27224 31488 31872 34030 39360 39840 40836 51045 52480 53120 54448 63744 68060 78720 79680 81672 102090 106240 108896 136120 157440 159360 163344 204180 217792 272240 318720 326688 408360 435584 544480 653376 816720 871168 1088960 1306752 1633440 2177920 2613504 3266880 4355840 6533760 13067520