Search a number
-
+
2012688 = 24341553
BaseRepresentation
bin111101011011000010000
310210020220000
413223120100
51003401223
6111050000
723051616
oct7533020
93706800
102012688
111155187
12810900
13556152
143a56b6
1529b543
hex1eb610

2012688 has 50 divisors (see below), whose sum is σ = 5829054. Its totient is φ = 670464.

The previous prime is 2012677. The next prime is 2012693. The reversal of 2012688 is 8862102.

It can be written as a sum of positive squares in only one way, i.e., 1327104 + 685584 = 1152^2 + 828^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 520 + ... + 2072.

22012688 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 2012688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914527).

2012688 is an abundant number, since it is smaller than the sum of its proper divisors (3816366).

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

2012688 is a wasteful number, since it uses less digits than its factorization.

2012688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2012688 is about 1418.6923556571. The cubic root of 2012688 is about 126.2579748581.

The spelling of 2012688 in words is "two million, twelve thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1553 3106 4659 6212 9318 12424 13977 18636 24848 27954 37272 41931 55908 74544 83862 111816 125793 167724 223632 251586 335448 503172 670896 1006344 2012688