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13009720 = 2352379179
BaseRepresentation
bin110001101000…
…001100111000
3220110221222111
4301220030320
511312302340
61142502104
7215403133
oct61501470
926427874
1013009720
117386439
124434934
132906779
141a2921a
15121eaea
hexc68338

13009720 has 64 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 4887168.

The previous prime is 13009691. The next prime is 13009721. The reversal of 13009720 is 2790031.

It is a junction number, because it is equal to n+sod(n) for n = 13009691 and 13009700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13009721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72591 + ... + 72769.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 213009720 is an apocalyptic number.

13009720 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 13009720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

13009720 is an abundant number, since it is smaller than the sum of its proper divisors (18094280).

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

13009720 is a wasteful number, since it uses less digits than its factorization.

13009720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 13009720 is about 3606.8989450773. The cubic root of 13009720 is about 235.1920566679.

Adding to 13009720 its reverse (2790031), we get a palindrome (15799751).

The spelling of 13009720 in words is "thirteen million, nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 115 158 179 184 230 316 358 395 460 632 716 790 895 920 1432 1580 1790 1817 3160 3580 3634 4117 7160 7268 8234 9085 14141 14536 16468 18170 20585 28282 32936 36340 41170 56564 70705 72680 82340 113128 141410 164680 282820 325243 565640 650486 1300972 1626215 2601944 3252430 6504860 13009720