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18142020 = 22325137753
BaseRepresentation
bin100010100110…
…1001101000100
31021010201011200
41011031031010
514121021040
61444502500
7310130121
oct105151504
937121150
1018142020
11a271406
1260aaa30
1339b2830
1425a3748
1518d5630
hex114d344

18142020 has 72 divisors (see below), whose sum is σ = 59271576. Its totient is φ = 4465152.

The previous prime is 18141997. The next prime is 18142021. The reversal of 18142020 is 2024181.

It can be written as a sum of positive squares in 4 ways, for example, as 3944196 + 14197824 = 1986^2 + 3768^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 18141984 and 18142002.

It is not an unprimeable number, because it can be changed into a prime (18142021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1537 + ... + 6216.

Almost surely, 218142020 is an apocalyptic number.

18142020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18142020 is an abundant number, since it is smaller than the sum of its proper divisors (41129556).

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

18142020 is a wasteful number, since it uses less digits than its factorization.

18142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7781 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 18142020 is about 4259.3450200706. The cubic root of 18142020 is about 262.7615895712.

The spelling of 18142020 in words is "eighteen million, one hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 7753 15506 23259 31012 38765 46518 69777 77530 93036 100789 116295 139554 155060 201578 232590 279108 302367 348885 403156 465180 503945 604734 697770 907101 1007890 1209468 1395540 1511835 1814202 2015780 3023670 3628404 4535505 6047340 9071010 18142020