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13071520 = 2557111061
BaseRepresentation
bin110001110111…
…010010100000
3220121002202101
4301313102200
511321242040
61144100144
7216051250
oct61672240
926532671
1013071520
117418910
124464654
132928937
141a43960
15123309a
hexc774a0

13071520 has 96 divisors (see below), whose sum is σ = 38537856. Its totient is φ = 4070400.

The previous prime is 13071511. The next prime is 13071523. The reversal of 13071520 is 2517031.

It is a super-2 number, since 2×130715202 = 341729270220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13071523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11790 + ... + 12850.

It is an arithmetic number, because the mean of its divisors is an integer number (401436).

Almost surely, 213071520 is an apocalyptic number.

13071520 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 13071520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19268928).

13071520 is an abundant number, since it is smaller than the sum of its proper divisors (25466336).

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

13071520 is a wasteful number, since it uses less digits than its factorization.

13071520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 13071520 is about 3615.4557112486. The cubic root of 13071520 is about 235.5638790355.

Adding to 13071520 its reverse (2517031), we get a palindrome (15588551).

The spelling of 13071520 in words is "thirteen million, seventy-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1061 1120 1232 1540 1760 2122 2464 3080 4244 5305 6160 7427 8488 10610 11671 12320 14854 16976 21220 23342 29708 33952 37135 42440 46684 58355 59416 74270 81697 84880 93368 116710 118832 148540 163394 169760 186736 233420 237664 297080 326788 373472 408485 466840 594160 653576 816970 933680 1188320 1307152 1633940 1867360 2614304 3267880 6535760 13071520