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18005020 = 22511223367
BaseRepresentation
bin100010010101…
…1110000011100
31020212202020121
41010223300130
514102130040
61441524324
7306016525
oct104536034
936782217
1018005020
11a188490
1260436a4
133965377
14256984c
1518a9c4a
hex112bc1c

18005020 has 48 divisors (see below), whose sum is σ = 41545728. Its totient is φ = 6500160.

The previous prime is 18004999. The next prime is 18005041. The reversal of 18005020 is 2050081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18004999) and next prime (18005041).

It is a junction number, because it is equal to n+sod(n) for n = 18004985 and 18005003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48877 + ... + 49243.

It is an arithmetic number, because the mean of its divisors is an integer number (865536).

Almost surely, 218005020 is an apocalyptic number.

18005020 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 18005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20772864).

18005020 is an abundant number, since it is smaller than the sum of its proper divisors (23540708).

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

18005020 is a wasteful number, since it uses less digits than its factorization.

18005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 18005020 is about 4243.2322585501. The cubic root of 18005020 is about 262.0985003449.

The spelling of 18005020 in words is "eighteen million, five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 223 367 446 734 892 1115 1468 1835 2230 2453 3670 4037 4460 4906 7340 8074 9812 12265 16148 20185 24530 40370 49060 80740 81841 163682 327364 409205 818410 900251 1636820 1800502 3601004 4501255 9002510 18005020