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13108020 = 22351771181
BaseRepresentation
bin110010000000…
…001100110100
3220122221211020
4302000030310
511323424040
61144541140
7216262542
oct62001464
926587736
1013108020
117443282
1244817b0
13293c433
141a52d92
15123dcd0
hexc80334

13108020 has 96 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3225600.

The previous prime is 13108019. The next prime is 13108033. The reversal of 13108020 is 2080131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72330 + ... + 72510.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 213108020 is an apocalyptic number.

13108020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3620×3621.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13108020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

13108020 is an abundant number, since it is smaller than the sum of its proper divisors (26518476).

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

13108020 is a wasteful number, since it uses less digits than its factorization.

13108020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 13108020 is about 3620.4999654744. The cubic root of 13108020 is about 235.7829326494.

Adding to 13108020 its reverse (2080131), we get a palindrome (15188151).

The spelling of 13108020 in words is "thirteen million, one hundred eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 71 85 102 142 170 181 204 213 255 284 340 355 362 426 510 543 710 724 852 905 1020 1065 1086 1207 1420 1810 2130 2172 2414 2715 3077 3620 3621 4260 4828 5430 6035 6154 7242 9231 10860 12070 12308 12851 14484 15385 18105 18462 24140 25702 30770 36210 36924 38553 46155 51404 61540 64255 72420 77106 92310 128510 154212 184620 192765 218467 257020 385530 436934 655401 771060 873868 1092335 1310802 2184670 2621604 3277005 4369340 6554010 13108020