Search a number
-
+
2180988 = 2232471289
BaseRepresentation
bin1000010100011101111100
311002210202100
420110131330
51024242423
6114425100
724352365
oct10243574
94083670
102180988
11125a677
12892190
135b4934
1440ab6c
152d1343
hex21477c

2180988 has 36 divisors (see below), whose sum is σ = 5634720. Its totient is φ = 710976.

The previous prime is 2180963. The next prime is 2180993. The reversal of 2180988 is 8890812.

2180988 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 super-2 number, since 2×21809882 = 9513417312288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1048 + ... + 2336.

It is an arithmetic number, because the mean of its divisors is an integer number (156520).

22180988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817360).

2180988 is an abundant number, since it is smaller than the sum of its proper divisors (3453732).

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

2180988 is a wasteful number, since it uses less digits than its factorization.

2180988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 2180988 is about 1476.8168471412. The cubic root of 2180988 is about 129.6834110967.

The spelling of 2180988 in words is "two million, one hundred eighty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1289 1692 2578 3867 5156 7734 11601 15468 23202 46404 60583 121166 181749 242332 363498 545247 726996 1090494 2180988