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18483840 = 273253209
BaseRepresentation
bin100011010000…
…0101010000000
31021210002001200
41012200222000
514212440330
61500101200
7313052514
oct106405200
937702050
1018483840
11a485201
126234800
133aa22ab
142652144
151951a60
hex11a0a80

18483840 has 96 divisors (see below), whose sum is σ = 63846900. Its totient is φ = 4927488.

The previous prime is 18483823. The next prime is 18483859. The reversal of 18483840 is 4838481.

It can be written as a sum of positive squares in 2 ways, for example, as 18455616 + 28224 = 4296^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×184838402 = 683304682291200, which contains 22 as substring.

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 = 18483795 and 18483804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4156 + ... + 7364.

Almost surely, 218483840 is an apocalyptic number.

18483840 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 18483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31923450).

18483840 is an abundant number, since it is smaller than the sum of its proper divisors (45363060).

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

18483840 is a wasteful number, since it uses less digits than its factorization.

18483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 18483840 is about 4299.2836612627. The cubic root of 18483840 is about 264.4015926506.

The spelling of 18483840 in words is "eighteen million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 3209 5760 6418 9627 12836 16045 19254 25672 28881 32090 38508 48135 51344 57762 64180 77016 96270 102688 115524 128360 144405 154032 192540 205376 231048 256720 288810 308064 385080 410752 462096 513440 577620 616128 770160 924192 1026880 1155240 1232256 1540320 1848384 2053760 2310480 3080640 3696768 4620960 6161280 9241920 18483840