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13015380 = 22357219233
BaseRepresentation
bin110001101001…
…100101010100
3220111020202010
4301221211110
511312443010
61142544220
7215425500
oct61514524
926436663
1013015380
11738a714
124438070
132909211
141a2b300
151221620
hexc69954

13015380 has 144 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 2806272.

The previous prime is 13015357. The next prime is 13015391. The reversal of 13015380 is 8351031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55744 + ... + 55976.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 213015380 is an apocalyptic number.

13015380 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 13015380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

13015380 is an abundant number, since it is smaller than the sum of its proper divisors (31800300).

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

13015380 is a wasteful number, since it uses less digits than its factorization.

13015380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 13015380 is about 3607.6834672682. The cubic root of 13015380 is about 235.2261592220.

The spelling of 13015380 in words is "thirteen million, fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 70 76 84 95 98 105 114 133 140 147 190 196 210 228 233 245 266 285 294 380 399 420 466 490 532 570 588 665 699 735 798 931 932 980 1140 1165 1330 1398 1470 1596 1631 1862 1995 2330 2660 2793 2796 2940 3262 3495 3724 3990 4427 4655 4660 4893 5586 6524 6990 7980 8155 8854 9310 9786 11172 11417 13281 13965 13980 16310 17708 18620 19572 22135 22834 24465 26562 27930 30989 32620 34251 44270 45668 48930 53124 55860 57085 61978 66405 68502 88540 92967 97860 114170 123956 132810 137004 154945 171255 185934 216923 228340 265620 309890 342510 371868 433846 464835 619780 650769 685020 867692 929670 1084615 1301538 1859340 2169230 2603076 3253845 4338460 6507690 13015380