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13706240 = 21052677
BaseRepresentation
bin110100010010…
…010000000000
3221210100102112
4310102100000
512002044430
61205434452
7224333612
oct64222000
927710375
1013706240
117811779
12470ba28
132abb802
141b6adb2
15130b195
hexd12400

13706240 has 44 divisors (see below), whose sum is σ = 32891196. Its totient is φ = 5480448.

The previous prime is 13706227. The next prime is 13706269. The reversal of 13706240 is 4260731.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 11723776 = 1408^2 + 3424^2 .

It is a super-2 number, since 2×137062402 = 375722029875200, which contains 22 as substring.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3782 + ... + 6458.

Almost surely, 213706240 is an apocalyptic number.

13706240 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 13706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445598).

13706240 is an abundant number, since it is smaller than the sum of its proper divisors (19184956).

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

13706240 is an equidigital number, since it uses as much as digits as its factorization.

13706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 13706240 is about 3702.1939441364. The cubic root of 13706240 is about 239.3165742376.

Adding to 13706240 its reverse (4260731), we get a palindrome (17966971).

The spelling of 13706240 in words is "thirteen million, seven hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 2677 5120 5354 10708 13385 21416 26770 42832 53540 85664 107080 171328 214160 342656 428320 685312 856640 1370624 1713280 2741248 3426560 6853120 13706240