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18480020 = 225131737113
BaseRepresentation
bin100011001111…
…1101110010100
31021202212211012
41012133232110
514212330040
61500031352
7313035416
oct106375624
937685735
1018480020
11a482349
126232558
133aa0630
1426509b6
151950865
hex119fb94

18480020 has 96 divisors (see below), whose sum is σ = 45849888. Its totient is φ = 6193152.

The previous prime is 18480001. The next prime is 18480029. The reversal of 18480020 is 2008481.

It can be written as a sum of positive squares in 16 ways, for example, as 6061444 + 12418576 = 2462^2 + 3524^2 .

It is a super-3 number, since 3×184800203 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18480029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163484 + ... + 163596.

It is an arithmetic number, because the mean of its divisors is an integer number (477603).

Almost surely, 218480020 is an apocalyptic number.

18480020 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 18480020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22924944).

18480020 is an abundant number, since it is smaller than the sum of its proper divisors (27369868).

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

18480020 is a wasteful number, since it uses less digits than its factorization.

18480020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 18480020 is about 4298.8393782508. The cubic root of 18480020 is about 264.3833770332.

The spelling of 18480020 in words is "eighteen million, four hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 37 52 65 68 74 85 113 130 148 170 185 221 226 260 340 370 442 452 481 565 629 740 884 962 1105 1130 1258 1469 1921 1924 2210 2260 2405 2516 2938 3145 3842 4181 4420 4810 5876 6290 7345 7684 8177 8362 9605 9620 12580 14690 16354 16724 19210 20905 24973 29380 32708 38420 40885 41810 49946 54353 71077 81770 83620 99892 108706 124865 142154 163540 217412 249730 271765 284308 355385 499460 543530 710770 924001 1087060 1421540 1848002 3696004 4620005 9240010 18480020