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13442440 = 23511137223
BaseRepresentation
bin110011010001…
…110110001000
3221021221120011
4303101312020
511420124230
61200041304
7222154534
oct63216610
927257504
1013442440
117651560
124603234
132a2870b
141adcbc4
1512a7e2a
hexcd1d88

13442440 has 64 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 4830720.

The previous prime is 13442417. The next prime is 13442441. The reversal of 13442440 is 4424431.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13442441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60169 + ... + 60391.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 213442440 is an apocalyptic number.

13442440 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 13442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692480).

13442440 is an abundant number, since it is smaller than the sum of its proper divisors (19942520).

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

13442440 is a wasteful number, since it uses less digits than its factorization.

13442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 13442440 is about 3666.3933231447. The cubic root of 13442440 is about 237.7712653050.

Adding to 13442440 its reverse (4424431), we get a palindrome (17866871).

Subtracting from 13442440 its reverse (4424431), we obtain a square (9018009 = 30032).

The spelling of 13442440 in words is "thirteen million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 137 220 223 274 440 446 548 685 892 1096 1115 1370 1507 1784 2230 2453 2740 3014 4460 4906 5480 6028 7535 8920 9812 12056 12265 15070 19624 24530 30140 30551 49060 60280 61102 98120 122204 152755 244408 305510 336061 611020 672122 1222040 1344244 1680305 2688488 3360610 6721220 13442440