Search a number
-
+
249841980 = 223251388011
BaseRepresentation
bin11101110010001…
…00100100111100
3122102010021202200
432321010210330
51002424420410
640442551500
76122423163
oct1671044474
9572107680
10249841980
11119035a83
126b808590
133c9b87bb
14252783da
1516e023c0
hexee4493c

249841980 has 36 divisors (see below), whose sum is σ = 757854552. Its totient is φ = 66624480.

The previous prime is 249841973. The next prime is 249841993. The reversal of 249841980 is 89148942.

249841980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 693826 + ... + 694185.

Almost surely, 2249841980 is an apocalyptic number.

249841980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249841980 is an abundant number, since it is smaller than the sum of its proper divisors (508012572).

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

249841980 is a wasteful number, since it uses less digits than its factorization.

249841980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388026 (or 1388021 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 249841980 is about 15806.3904798028. The cubic root of 249841980 is about 629.8277684897.

The spelling of 249841980 in words is "two hundred forty-nine million, eight hundred forty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1388011 2776022 4164033 5552044 6940055 8328066 12492099 13880110 16656132 20820165 24984198 27760220 41640330 49968396 62460495 83280660 124920990 249841980