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18870240 = 253539313
BaseRepresentation
bin100011111111…
…0111111100000
31022111201002210
41013332333200
514312321430
61512242120
7316252164
oct107767740
938451083
1018870240
11a719544
1263a0340
133ba912c
142712ca4
1519cb2b0
hex11fefe0

18870240 has 48 divisors (see below), whose sum is σ = 59442768. Its totient is φ = 5031936.

The previous prime is 18870239. The next prime is 18870277. The reversal of 18870240 is 4207881.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18870198 and 18870207.

It is a congruent number.

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, 19177 + ... + 20136.

It is an arithmetic number, because the mean of its divisors is an integer number (1238391).

Almost surely, 218870240 is an apocalyptic number.

18870240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18870240 is an abundant number, since it is smaller than the sum of its proper divisors (40572528).

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

18870240 is a wasteful number, since it uses less digits than its factorization.

18870240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39331 (or 39323 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 18870240 is about 4343.9889502622. The cubic root of 18870240 is about 266.2313174310.

It can be divided in two parts, 18870 and 240, that added together give a triangular number (19110 = T195).

The spelling of 18870240 in words is "eighteen million, eight hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 39313 78626 117939 157252 196565 235878 314504 393130 471756 589695 629008 786260 943512 1179390 1258016 1572520 1887024 2358780 3145040 3774048 4717560 6290080 9435120 18870240