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18991890 = 23251712413
BaseRepresentation
bin100100001110…
…0101100010010
31022201212222100
41020130230102
514330220030
61515021230
7320266641
oct110345422
938655870
1018991890
11a7a1985
12643a816
133c1c608
142745358
151a02360
hex121cb12

18991890 has 48 divisors (see below), whose sum is σ = 52287768. Its totient is φ = 4766208.

The previous prime is 18991879. The next prime is 18991891. The reversal of 18991890 is 9819981.

It can be written as a sum of positive squares in 4 ways, for example, as 15848361 + 3143529 = 3981^2 + 1773^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18991891) 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, 4677 + ... + 7736.

Almost surely, 218991890 is an apocalyptic number.

18991890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18991890 is an abundant number, since it is smaller than the sum of its proper divisors (33295878).

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

18991890 is a wasteful number, since it uses less digits than its factorization.

18991890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12443 (or 12440 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The square root of 18991890 is about 4357.9685634479. The cubic root of 18991890 is about 266.8021932631.

It can be divided in two parts, 18991 and 890, that added together give a square (19881 = 1412).

The spelling of 18991890 in words is "eighteen million, nine hundred ninety-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 12413 24826 37239 62065 74478 111717 124130 186195 211021 223434 372390 422042 558585 633063 1055105 1117170 1266126 1899189 2110210 3165315 3798378 6330630 9495945 18991890