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13373440 = 2125653
BaseRepresentation
bin110011000001…
…000000000000
3221011102220121
4303001000000
511410422230
61154350024
7221446423
oct63010000
927142817
1013373440
117604733
12458b314
132a031a2
141ac19ba
15129277a
hexcc1000

13373440 has 52 divisors (see below), whose sum is σ = 32141484. Its totient is φ = 5341184.

The previous prime is 13373429. The next prime is 13373443. The reversal of 13373440 is 4437331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 9437184 = 1984^2 + 3072^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13373443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20154 + ... + 20806.

Almost surely, 213373440 is an apocalyptic number.

13373440 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 13373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070742).

13373440 is an abundant number, since it is smaller than the sum of its proper divisors (18768044).

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

13373440 is an frugal number, since it uses more digits than its factorization.

13373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 13373440 is about 3656.9714245534. The cubic root of 13373440 is about 237.3637408612.

The spelling of 13373440 in words is "thirteen million, three hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 653 1024 1280 1306 2048 2560 2612 3265 4096 5120 5224 6530 10240 10448 13060 20480 20896 26120 41792 52240 83584 104480 167168 208960 334336 417920 668672 835840 1337344 1671680 2674688 3343360 6686720 13373440