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13027840 = 2957727
BaseRepresentation
bin110001101100…
…101000000000
3220111212211121
4301230220000
511313342330
61143122024
7215510020
oct61545000
926455747
1013027840
117399011
124443314
132911aa7
141a31a80
15122517a
hexc6ca00

13027840 has 80 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 4460544.

The previous prime is 13027813. The next prime is 13027841. The reversal of 13027840 is 4872031.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13027841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17557 + ... + 18283.

Almost surely, 213027840 is an apocalyptic number.

13027840 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 13027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

13027840 is an abundant number, since it is smaller than the sum of its proper divisors (22719872).

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

13027840 is an frugal number, since it uses more digits than its factorization.

13027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13027840 is about 3609.4099240735. The cubic root of 13027840 is about 235.3011982183.

Adding to 13027840 its reverse (4872031), we get a palindrome (17899871).

The spelling of 13027840 in words is "thirteen million, twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 727 896 1120 1280 1454 1792 2240 2560 2908 3584 3635 4480 5089 5816 7270 8960 10178 11632 14540 17920 20356 23264 25445 29080 40712 46528 50890 58160 81424 93056 101780 116320 162848 186112 203560 232640 325696 372224 407120 465280 651392 814240 930560 1302784 1628480 1861120 2605568 3256960 6513920 13027840