Search a number
-
+
2107768 = 231321559
BaseRepresentation
bin1000000010100101111000
310222002022111
420002211320
51014422033
6113102104
723626045
oct10024570
93862274
102107768
11120a663
12857934
1358a500
143cc1cc
152b97cd
hex202978

2107768 has 24 divisors (see below), whose sum is σ = 4282200. Its totient is φ = 972192.

The previous prime is 2107759. The next prime is 2107771. The reversal of 2107768 is 8677012.

It is a happy number.

2107768 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 573 + ... + 2131.

It is an arithmetic number, because the mean of its divisors is an integer number (178425).

22107768 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 2107768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141100).

2107768 is an abundant number, since it is smaller than the sum of its proper divisors (2174432).

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

2107768 is a wasteful number, since it uses less digits than its factorization.

2107768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 2107768 is about 1451.8154152646. The cubic root of 2107768 is about 128.2156196515.

The spelling of 2107768 in words is "two million, one hundred seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 1559 3118 6236 12472 20267 40534 81068 162136 263471 526942 1053884 2107768