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14485400 = 2352234767
BaseRepresentation
bin110111010000…
…011110011000
31000020221020022
4313100132120
512202013100
61234250012
7234060326
oct67203630
930227208
1014485400
1181a4106
124a26908
133002357
141cd0d16
151411e85
hexdd0798

14485400 has 96 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 5343360.

The previous prime is 14485397. The next prime is 14485403. The reversal of 14485400 is 458441.

14485400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14485397) and next prime (14485403).

It is a self number, because there is not a number n which added to its sum of digits gives 14485400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14485403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216167 + ... + 216233.

It is an arithmetic number, because the mean of its divisors is an integer number (379440).

Almost surely, 214485400 is an apocalyptic number.

14485400 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 14485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

14485400 is an abundant number, since it is smaller than the sum of its proper divisors (21940840).

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

14485400 is a wasteful number, since it uses less digits than its factorization.

14485400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 14485400 is about 3805.9689961953. The cubic root of 14485400 is about 243.7680766782.

The spelling of 14485400 in words is "fourteen million, four hundred eighty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 47 50 67 92 94 100 115 134 184 188 200 230 235 268 335 376 460 470 536 575 670 920 940 1081 1150 1175 1340 1541 1675 1880 2162 2300 2350 2680 3082 3149 3350 4324 4600 4700 5405 6164 6298 6700 7705 8648 9400 10810 12328 12596 13400 15410 15745 21620 25192 27025 30820 31490 38525 43240 54050 61640 62980 72427 77050 78725 108100 125960 144854 154100 157450 216200 289708 308200 314900 362135 579416 629800 724270 1448540 1810675 2897080 3621350 7242700 14485400