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14940180 = 2233573379
BaseRepresentation
bin111000111111…
…100000010100
31001010001002000
4320333200110
512311041210
61252115300
7240663243
oct70774024
931101060
1014940180
118484862
125005b30
133131358
141dac95a
1514a1ac0
hexe3f814

14940180 has 96 divisors (see below), whose sum is σ = 47241600. Its totient is φ = 3919104.

The previous prime is 14940173. The next prime is 14940197. The reversal of 14940180 is 8104941.

14940180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39231 + ... + 39609.

It is an arithmetic number, because the mean of its divisors is an integer number (492100).

Almost surely, 214940180 is an apocalyptic number.

14940180 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 14940180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23620800).

14940180 is an abundant number, since it is smaller than the sum of its proper divisors (32301420).

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

14940180 is a wasteful number, since it uses less digits than its factorization.

14940180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14940180 is about 3865.2529024632. The cubic root of 14940180 is about 246.2929288621.

The spelling of 14940180 in words is "fourteen million, nine hundred forty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 379 438 540 657 730 758 876 1095 1137 1314 1460 1516 1895 1971 2190 2274 2628 3285 3411 3790 3942 4380 4548 5685 6570 6822 7580 7884 9855 10233 11370 13140 13644 17055 19710 20466 22740 27667 34110 39420 40932 51165 55334 68220 83001 102330 110668 138335 166002 204660 249003 276670 332004 415005 498006 553340 747009 830010 996012 1245015 1494018 1660020 2490030 2988036 3735045 4980060 7470090 14940180