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13341120 = 2635131069
BaseRepresentation
bin110010111001…
…000111000000
3221002210120120
4302321013000
511403403440
61153540240
7221253252
oct62710700
927083516
1013341120
117592421
124574680
1329c1570
141ab3cd2
151287dd0
hexcb91c0

13341120 has 112 divisors (see below), whose sum is σ = 45659040. Its totient is φ = 3280896.

The previous prime is 13341103. The next prime is 13341121. The reversal of 13341120 is 2114331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13341120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13341121) 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, 11946 + ... + 13014.

It is an arithmetic number, because the mean of its divisors is an integer number (407670).

Almost surely, 213341120 is an apocalyptic number.

13341120 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 13341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22829520).

13341120 is an abundant number, since it is smaller than the sum of its proper divisors (32317920).

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

13341120 is a wasteful number, since it uses less digits than its factorization.

13341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13341120 is about 3652.5497943218. The cubic root of 13341120 is about 237.1723718872.

Adding to 13341120 its reverse (2114331), we get a palindrome (15455451).

The spelling of 13341120 in words is "thirteen million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1069 1248 1560 2080 2138 2496 3120 3207 4160 4276 5345 6240 6414 8552 10690 12480 12828 13897 16035 17104 21380 25656 27794 32070 34208 41691 42760 51312 55588 64140 68416 69485 83382 85520 102624 111176 128280 138970 166764 171040 205248 208455 222352 256560 277940 333528 342080 416910 444704 513120 555880 667056 833820 889408 1026240 1111760 1334112 1667640 2223520 2668224 3335280 4447040 6670560 13341120