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14455040 = 28523491
BaseRepresentation
bin110111001001…
…000100000000
31000012101120212
4313021010000
512200030130
61233453252
7233602655
oct67110400
930171525
1014455040
118183316
124a11228
132cc15a2
141cc3c2c
151407e95
hexdc9100

14455040 has 72 divisors (see below), whose sum is σ = 36203328. Its totient is φ = 5519360.

The previous prime is 14455039. The next prime is 14455057. The reversal of 14455040 is 4055441.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14454997 and 14455015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29195 + ... + 29685.

It is an arithmetic number, because the mean of its divisors is an integer number (502824).

Almost surely, 214455040 is an apocalyptic number.

14455040 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 14455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18101664).

14455040 is an abundant number, since it is smaller than the sum of its proper divisors (21748288).

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

14455040 is an equidigital number, since it uses as much as digits as its factorization.

14455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 14455040 is about 3801.9784323428. The cubic root of 14455040 is about 243.5976527735.

The spelling of 14455040 in words is "fourteen million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 491 640 736 920 982 1280 1472 1840 1964 2455 2944 3680 3928 4910 5888 7360 7856 9820 11293 14720 15712 19640 22586 29440 31424 39280 45172 56465 62848 78560 90344 112930 125696 157120 180688 225860 314240 361376 451720 628480 722752 903440 1445504 1806880 2891008 3613760 7227520 14455040