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13107720 = 2335195749
BaseRepresentation
bin110010000000…
…001000001000
3220122221102010
4302000020020
511323421340
61144535520
7216261633
oct62001010
926587363
1013107720
11744302a
1244815a0
13293c262
141a52c1a
15123db80
hexc80208

13107720 has 64 divisors (see below), whose sum is σ = 41400000. Its totient is φ = 3310848.

The previous prime is 13107719. The next prime is 13107727. The reversal of 13107720 is 2770131.

It is not an unprimeable number, because it can be changed into a prime (13107727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595 + ... + 5154.

It is an arithmetic number, because the mean of its divisors is an integer number (646875).

Almost surely, 213107720 is an apocalyptic number.

13107720 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 13107720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20700000).

13107720 is an abundant number, since it is smaller than the sum of its proper divisors (28292280).

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

13107720 is a wasteful number, since it uses less digits than its factorization.

13107720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 13107720 is about 3620.4585344953. The cubic root of 13107720 is about 235.7811338672.

Adding to 13107720 its reverse (2770131), we get a palindrome (15877851).

The spelling of 13107720 in words is "thirteen million, one hundred seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 5749 11498 17247 22996 28745 34494 45992 57490 68988 86235 109231 114980 137976 172470 218462 229960 327693 344940 436924 546155 655386 689880 873848 1092310 1310772 1638465 2184620 2621544 3276930 4369240 6553860 13107720