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18948240 = 2432526317
BaseRepresentation
bin100100001001…
…0000010010000
31022122200002200
41020102002100
514322320430
61514043200
7320025453
oct110220220
938580080
1018948240
11a772103
126419500
133c0579c
14273349a
1519e4460
hex1212090

18948240 has 60 divisors (see below), whose sum is σ = 63636924. Its totient is φ = 5052672.

The previous prime is 18948221. The next prime is 18948253. The reversal of 18948240 is 4284981.

It can be written as a sum of positive squares in 2 ways, for example, as 9511056 + 9437184 = 3084^2 + 3072^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18948195 and 18948204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12439 + ... + 13878.

Almost surely, 218948240 is an apocalyptic number.

18948240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18948240 is an abundant number, since it is smaller than the sum of its proper divisors (44688684).

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

18948240 is a wasteful number, since it uses less digits than its factorization.

18948240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26336 (or 26327 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18948240 is about 4352.9576152313. The cubic root of 18948240 is about 266.5976349091.

The spelling of 18948240 in words is "eighteen million, nine hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 26317 52634 78951 105268 131585 157902 210536 236853 263170 315804 394755 421072 473706 526340 631608 789510 947412 1052680 1184265 1263216 1579020 1894824 2105360 2368530 3158040 3789648 4737060 6316080 9474120 18948240