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1800312040 = 235791314349
BaseRepresentation
bin110101101001110…
…1001010011101000
311122110121022211201
41223103221103220
512141334441130
6454350533544
762420254102
oct15323512350
94573538751
101800312040
1184425809a
12422b072b4
13228c9c0c7
14131158572
15a80babca
hex6b4e94e8

1800312040 has 64 divisors (see below), whose sum is σ = 4134240000. Its totient is φ = 705419520.

The previous prime is 1800312037. The next prime is 1800312049. The reversal of 1800312040 is 402130081.

It is a super-2 number, since 2×18003120402 = 6482246882737923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1800311999 and 1800312017.

It is not an unprimeable number, because it can be changed into a prime (1800312049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411786 + ... + 416134.

It is an arithmetic number, because the mean of its divisors is an integer number (64597500).

Almost surely, 21800312040 is an apocalyptic number.

1800312040 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 1800312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067120000).

1800312040 is an abundant number, since it is smaller than the sum of its proper divisors (2333927960).

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

1800312040 is a wasteful number, since it uses less digits than its factorization.

1800312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4570 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1800312040 is about 42430.0841384978. The cubic root of 1800312040 is about 1216.5106872870.

The spelling of 1800312040 in words is "one billion, eight hundred million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 79 131 158 262 316 395 524 632 655 790 1048 1310 1580 2620 3160 4349 5240 8698 10349 17396 20698 21745 34792 41396 43490 51745 82792 86980 103490 173960 206980 343571 413960 569719 687142 1139438 1374284 1717855 2278876 2748568 2848595 3435710 4557752 5697190 6871420 11394380 13742840 22788760 45007801 90015602 180031204 225039005 360062408 450078010 900156020 1800312040