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13440816 = 24353457
BaseRepresentation
bin110011010001…
…011100110000
3221021212100000
4303101130300
511420101231
61200030000
7222150024
oct63213460
927255300
1013440816
117650314
124602300
132a27a5c
141adc384
1512a76e6
hexcd1730

13440816 has 60 divisors (see below), whose sum is σ = 39020072. Its totient is φ = 4478976.

The previous prime is 13440781. The next prime is 13440821. The reversal of 13440816 is 61804431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13440816.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2160 + ... + 5616.

Almost surely, 213440816 is an apocalyptic number.

13440816 is a gapful number since it is divisible by the number (16) 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 13440816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19510036).

13440816 is an abundant number, since it is smaller than the sum of its proper divisors (25579256).

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

13440816 is an equidigital number, since it uses as much as digits as its factorization.

13440816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13440816 is about 3666.1718453995. The cubic root of 13440816 is about 237.7616897595.

The spelling of 13440816 in words is "thirteen million, four hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3457 3888 6914 10371 13828 20742 27656 31113 41484 55312 62226 82968 93339 124452 165936 186678 248904 280017 373356 497808 560034 746712 840051 1120068 1493424 1680102 2240136 3360204 4480272 6720408 13440816