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13744020 = 22353741151
BaseRepresentation
bin110100011011…
…011110010100
3221212021020210
4310123132110
512004302040
61210325420
7224552013
oct64333624
927767223
1013744020
1178380a4
124729870
132b02a74
141b7aa7a
151317480
hexd1b794

13744020 has 96 divisors (see below), whose sum is σ = 40755456. Its totient is φ = 3456000.

The previous prime is 13744019. The next prime is 13744021. The reversal of 13744020 is 2044731.

It is an interprime number because it is at equal distance from previous prime (13744019) and next prime (13744021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13744021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90945 + ... + 91095.

It is an arithmetic number, because the mean of its divisors is an integer number (424536).

Almost surely, 213744020 is an apocalyptic number.

13744020 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 13744020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20377728).

13744020 is an abundant number, since it is smaller than the sum of its proper divisors (27011436).

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

13744020 is a wasteful number, since it uses less digits than its factorization.

13744020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 13744020 is about 3707.2928128218. The cubic root of 13744020 is about 239.5362572828.

Adding to 13744020 its reverse (2044731), we get a palindrome (15788751).

The spelling of 13744020 in words is "thirteen million, seven hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 41 60 74 82 111 123 148 151 164 185 205 222 246 302 370 410 444 453 492 555 604 615 740 755 820 906 1110 1230 1510 1517 1812 2220 2265 2460 3020 3034 4530 4551 5587 6068 6191 7585 9060 9102 11174 12382 15170 16761 18204 18573 22348 22755 24764 27935 30340 30955 33522 37146 45510 55870 61910 67044 74292 83805 91020 92865 111740 123820 167610 185730 229067 335220 371460 458134 687201 916268 1145335 1374402 2290670 2748804 3436005 4581340 6872010 13744020