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13410720 = 2532567139
BaseRepresentation
bin110011001010…
…000110100000
3221020100001100
4303022012200
511413120340
61155234400
7221663211
oct63120640
927210040
1013410720
11762a744
1245a8a00
132a1714b
141ad1408
15129d830
hexcca1a0

13410720 has 144 divisors (see below), whose sum is σ = 46781280. Its totient is φ = 3497472.

The previous prime is 13410707. The next prime is 13410721. The reversal of 13410720 is 2701431.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13410693 and 13410702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13410721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96411 + ... + 96549.

It is an arithmetic number, because the mean of its divisors is an integer number (324870).

Almost surely, 213410720 is an apocalyptic number.

13410720 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 13410720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

13410720 is an abundant number, since it is smaller than the sum of its proper divisors (33370560).

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

13410720 is a wasteful number, since it uses less digits than its factorization.

13410720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13410720 is about 3662.0649912310. The cubic root of 13410720 is about 237.5840957963.

The spelling of 13410720 in words is "thirteen million, four hundred ten thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 67 72 80 90 96 120 134 139 144 160 180 201 240 268 278 288 335 360 402 417 480 536 556 603 670 695 720 804 834 1005 1072 1112 1206 1251 1340 1390 1440 1608 1668 2010 2085 2144 2224 2412 2502 2680 2780 3015 3216 3336 4020 4170 4448 4824 5004 5360 5560 6030 6255 6432 6672 8040 8340 9313 9648 10008 10720 11120 12060 12510 13344 16080 16680 18626 19296 20016 22240 24120 25020 27939 32160 33360 37252 40032 46565 48240 50040 55878 66720 74504 83817 93130 96480 100080 111756 139695 149008 167634 186260 200160 223512 279390 298016 335268 372520 419085 447024 558780 670536 745040 838170 894048 1117560 1341072 1490080 1676340 2235120 2682144 3352680 4470240 6705360 13410720