Search a number
-
+
2133488 = 24743443
BaseRepresentation
bin1000001000110111110000
311000101121002
420020313300
51021232423
6113421132
724064040
oct10106760
94011532
102133488
111227a15
1286a7a8
13599126
143d7720
152c2228
hex208df0

2133488 has 40 divisors (see below), whose sum is σ = 4844928. Its totient is φ = 891072.

The previous prime is 2133487. The next prime is 2133533. The reversal of 2133488 is 8843312.

It is a happy number.

It is a super-2 number, since 2×21334882 = 9103542092288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2133488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4595 + ... + 5037.

22133488 is an apocalyptic number.

2133488 is a gapful number since it is divisible by the number (28) 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 2133488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422464).

2133488 is an abundant number, since it is smaller than the sum of its proper divisors (2711440).

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

2133488 is a wasteful number, since it uses less digits than its factorization.

2133488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 2133488 is about 1460.6464322347. The cubic root of 2133488 is about 128.7350288936.

The spelling of 2133488 in words is "two million, one hundred thirty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 443 602 688 886 1204 1772 2408 3101 3544 4816 6202 7088 12404 19049 24808 38098 49616 76196 133343 152392 266686 304784 533372 1066744 2133488