Search a number
-
+
2105676 = 22346797
BaseRepresentation
bin1000000010000101001100
310221222110000
420002011030
51014340201
6113044300
723616666
oct10020514
93858400
102105676
111209031
12856690
13589581
143cb536
152b8d86
hex20214c

2105676 has 60 divisors (see below), whose sum is σ = 5644408. Its totient is φ = 684288.

The previous prime is 2105669. The next prime is 2105681. The reversal of 2105676 is 6765012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21660 + ... + 21756.

22105676 is an apocalyptic number.

2105676 is the 776-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822204).

2105676 is an abundant number, since it is smaller than the sum of its proper divisors (3538732).

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

2105676 is a wasteful number, since it uses less digits than its factorization.

2105676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2105676 is about 1451.0947591388. The cubic root of 2105676 is about 128.1731867928.

It can be divided in two parts, 210 and 5676, that added together give a triangular number (5886 = T108).

The spelling of 2105676 in words is "two million, one hundred five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 97 108 134 162 194 201 268 291 324 388 402 582 603 804 873 1164 1206 1746 1809 2412 2619 3492 3618 5238 5427 6499 7236 7857 10476 10854 12998 15714 19497 21708 25996 31428 38994 58491 77988 116982 175473 233964 350946 526419 701892 1052838 2105676