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13423540 = 22513173037
BaseRepresentation
bin110011001101…
…001110110100
3221020222122011
4303031032310
511414023130
61155414004
7222045454
oct63151664
927228564
1013423540
117639339
1245b4304
132a1cc30
141ad5d64
1512a252a
hexccd3b4

13423540 has 48 divisors (see below), whose sum is σ = 32154192. Its totient is φ = 4663296.

The previous prime is 13423537. The next prime is 13423541. The reversal of 13423540 is 4532431.

It can be written as a sum of positive squares in 8 ways, for example, as 71824 + 13351716 = 268^2 + 3654^2 .

It is a super-2 number, since 2×134235402 = 360382852263200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13423541) 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 15 ways as a sum of consecutive naturals, for example, 2902 + ... + 5938.

It is an arithmetic number, because the mean of its divisors is an integer number (669879).

Almost surely, 213423540 is an apocalyptic number.

13423540 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 13423540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16077096).

13423540 is an abundant number, since it is smaller than the sum of its proper divisors (18730652).

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

13423540 is a wasteful number, since it uses less digits than its factorization.

13423540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 13423540 is about 3663.8149516590. The cubic root of 13423540 is about 237.6597779886.

Adding to 13423540 its reverse (4532431), we get a palindrome (17955971).

The spelling of 13423540 in words is "thirteen million, four hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 3037 4420 6074 12148 15185 30370 39481 51629 60740 78962 103258 157924 197405 206516 258145 394810 516290 671177 789620 1032580 1342354 2684708 3355885 6711770 13423540