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14885360 = 2457191399
BaseRepresentation
bin111000110010…
…000111110000
31001000020212122
4320302013300
512302312420
61251013412
7240344360
oct70620760
931006778
1014885360
118447656
124b9a268
133112409
141d969a0
151490725
hexe321f0

14885360 has 80 divisors (see below), whose sum is σ = 41664000. Its totient is φ = 4831488.

The previous prime is 14885333. The next prime is 14885383. The reversal of 14885360 is 6358841.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 14885360.

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 15 ways as a sum of consecutive naturals, for example, 9941 + ... + 11339.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 214885360 is an apocalyptic number.

14885360 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 14885360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832000).

14885360 is an abundant number, since it is smaller than the sum of its proper divisors (26778640).

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

14885360 is a wasteful number, since it uses less digits than its factorization.

14885360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 14885360 is about 3858.1549994784. The cubic root of 14885360 is about 245.9913187938.

The spelling of 14885360 in words is "fourteen million, eight hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1399 1520 2128 2660 2798 5320 5596 6995 9793 10640 11192 13990 19586 22384 26581 27980 39172 48965 53162 55960 78344 97930 106324 111920 132905 156688 186067 195860 212648 265810 372134 391720 425296 531620 744268 783440 930335 1063240 1488536 1860670 2126480 2977072 3721340 7442680 14885360