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2431980 = 2232559229
BaseRepresentation
bin1001010001101111101100
311120120001100
421101233230
51110310410
6124043100
726446215
oct11215754
94516040
102431980
111411201
12993490
13671c55
1447440c
153308c0
hex251bec

2431980 has 72 divisors (see below), whose sum is σ = 7534800. Its totient is φ = 634752.

The previous prime is 2431967. The next prime is 2431987. The reversal of 2431980 is 891342.

It is not an unprimeable number, because it can be changed into a prime (2431987) 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, 10506 + ... + 10734.

It is an arithmetic number, because the mean of its divisors is an integer number (104650).

22431980 is an apocalyptic number.

2431980 is a gapful number since it is divisible by the number (20) 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 2431980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767400).

2431980 is an abundant number, since it is smaller than the sum of its proper divisors (5102820).

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

2431980 is a wasteful number, since it uses less digits than its factorization.

2431980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2431980 is about 1559.4806827916. The cubic root of 2431980 is about 134.4786476333.

The spelling of 2431980 in words is "two million, four hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 229 236 295 354 458 531 590 687 708 885 916 1062 1145 1180 1374 1770 2061 2124 2290 2655 2748 3435 3540 4122 4580 5310 6870 8244 10305 10620 13511 13740 20610 27022 40533 41220 54044 67555 81066 121599 135110 162132 202665 243198 270220 405330 486396 607995 810660 1215990 2431980