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13106340 = 22335131867
BaseRepresentation
bin110001111111…
…110010100100
3220122212112000
4301333302210
511323400330
61144525300
7216254622
oct61776244
926585460
1013106340
117441a95
124480830
13293b740
141a52512
15123d560
hexc7fca4

13106340 has 96 divisors (see below), whose sum is σ = 43935360. Its totient is φ = 3224448.

The previous prime is 13106329. The next prime is 13106351. The reversal of 13106340 is 4360131.

13106340 is a `hidden beast` number, since 1 + 31 + 0 + 634 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13106329) and next prime (13106351).

It is a super-2 number, since 2×131063402 = 343552296391200, which contains 22 as substring.

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

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, 6087 + ... + 7953.

It is an arithmetic number, because the mean of its divisors is an integer number (457660).

Almost surely, 213106340 is an apocalyptic number.

13106340 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 13106340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21967680).

13106340 is an abundant number, since it is smaller than the sum of its proper divisors (30829020).

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

13106340 is a wasteful number, since it uses less digits than its factorization.

13106340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13106340 is about 3620.2679458847. The cubic root of 13106340 is about 235.7728591155.

Adding to 13106340 its reverse (4360131), we get a palindrome (17466471).

The spelling of 13106340 in words is "thirteen million, one hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 1867 2340 3510 3734 5601 7020 7468 9335 11202 16803 18670 22404 24271 28005 33606 37340 48542 50409 56010 67212 72813 84015 97084 100818 112020 121355 145626 168030 201636 218439 242710 252045 291252 336060 364065 436878 485420 504090 655317 728130 873756 1008180 1092195 1310634 1456260 2184390 2621268 3276585 4368780 6553170 13106340