Search a number
-
+
2180934 = 232719911
BaseRepresentation
bin1000010100011101000110
311002210200100
420110131012
51024242214
6114424530
724352260
oct10243506
94083610
102180934
11125a628
12892146
135b48c2
1440ab30
152d1309
hex214746

2180934 has 48 divisors (see below), whose sum is σ = 5690880. Its totient is φ = 589680.

The previous prime is 2180923. The next prime is 2180957. The reversal of 2180934 is 4390812.

It is a super-2 number, since 2×21809342 = 9512946224712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2180898 and 2180907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1939 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (118560).

22180934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845440).

2180934 is an abundant number, since it is smaller than the sum of its proper divisors (3509946).

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

2180934 is a wasteful number, since it uses less digits than its factorization.

2180934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 942 counting only the distinct ones).

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

The square root of 2180934 is about 1476.7985644630. The cubic root of 2180934 is about 129.6823407925.

The spelling of 2180934 in words is "two million, one hundred eighty thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 911 1197 1822 2394 2733 5466 6377 8199 12754 16398 17309 19131 34618 38262 51927 57393 103854 114786 121163 155781 242326 311562 363489 726978 1090467 2180934