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18819540 = 2234511617
BaseRepresentation
bin100011111001…
…0100111010100
31022102010120000
41013302213110
514304211130
61511211300
7315651315
oct107624724
938363500
1018819540
11a694443
126376b30
133b8c02c
1426dc60c
1519bb260
hex11f29d4

18819540 has 60 divisors (see below), whose sum is σ = 59042676. Its totient is φ = 5018112.

The previous prime is 18819529. The next prime is 18819547. The reversal of 18819540 is 4591881.

It can be written as a sum of positive squares in 2 ways, for example, as 6625476 + 12194064 = 2574^2 + 3492^2 .

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 = 18819495 and 18819504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18819547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4189 + ... + 7428.

Almost surely, 218819540 is an apocalyptic number.

18819540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18819540 is an abundant number, since it is smaller than the sum of its proper divisors (40223136).

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

18819540 is a wasteful number, since it uses less digits than its factorization.

18819540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11638 (or 11627 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 18819540 is about 4338.1493750216. The cubic root of 18819540 is about 265.9926694420.

The spelling of 18819540 in words is "eighteen million, eight hundred nineteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 11617 23234 34851 46468 58085 69702 104553 116170 139404 174255 209106 232340 313659 348510 418212 522765 627318 697020 940977 1045530 1254636 1568295 1881954 2091060 3136590 3763908 4704885 6273180 9409770 18819540