Search a number
-
+
2168628 = 2237112347
BaseRepresentation
bin1000010001011100110100
311002011210120
420101130310
51023344003
6114251540
724301350
oct10213464
94064716
102168628
111251360
12886bb0
135ac117
14406460
152cc853
hex211734

2168628 has 48 divisors (see below), whose sum is σ = 6311424. Its totient is φ = 563040.

The previous prime is 2168623. The next prime is 2168651. The reversal of 2168628 is 8268612.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250 + ... + 2097.

It is an arithmetic number, because the mean of its divisors is an integer number (131488).

22168628 is an apocalyptic number.

2168628 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 2168628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155712).

2168628 is an abundant number, since it is smaller than the sum of its proper divisors (4142796).

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

2168628 is a wasteful number, since it uses less digits than its factorization.

2168628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2370 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 2168628 is about 1472.6262254897. The cubic root of 2168628 is about 129.4379681342.

The spelling of 2168628 in words is "two million, one hundred sixty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2347 4694 7041 9388 14082 16429 25817 28164 32858 49287 51634 65716 77451 98574 103268 154902 180719 197148 309804 361438 542157 722876 1084314 2168628