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13124720 = 2457231019
BaseRepresentation
bin110010000100…
…010001110000
3220200210201202
4302010101300
511324442340
61145150332
7216362330
oct62042160
926623652
1013124720
117454884
12448b3a8
132946c0b
141a590c0
151243c15
hexc84470

13124720 has 80 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 4300032.

The previous prime is 13124717. The next prime is 13124723. The reversal of 13124720 is 2742131.

It is an interprime number because it is at equal distance from previous prime (13124717) and next prime (13124723).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13124692 and 13124701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124723) 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, 12371 + ... + 13389.

It is an arithmetic number, because the mean of its divisors is an integer number (455328).

Almost surely, 213124720 is an apocalyptic number.

13124720 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 13124720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

13124720 is an abundant number, since it is smaller than the sum of its proper divisors (23301520).

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

13124720 is a wasteful number, since it uses less digits than its factorization.

13124720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 13124720 is about 3622.8055426699. The cubic root of 13124720 is about 235.8830216016.

Adding to 13124720 its reverse (2742131), we get a palindrome (15866851).

The spelling of 13124720 in words is "thirteen million, one hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1019 1288 1610 1840 2038 2576 3220 4076 5095 6440 7133 8152 10190 12880 14266 16304 20380 23437 28532 35665 40760 46874 57064 71330 81520 93748 114128 117185 142660 164059 187496 234370 285320 328118 374992 468740 570640 656236 820295 937480 1312472 1640590 1874960 2624944 3281180 6562360 13124720