Search a number
-
+
2676132 = 223371349
BaseRepresentation
bin1010001101010110100100
312000221222000
422031112210
51141114012
6133205300
731514064
oct12152644
95027860
102676132
111568688
12a90830
13729114
144d93a4
1537cddc
hex28d5a4

2676132 has 48 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 876960.

The previous prime is 2676127. The next prime is 2676139. The reversal of 2676132 is 2316762.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2676096 and 2676105.

It is not an unprimeable number, because it can be changed into a prime (2676139) 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, 7494 + ... + 7842.

It is an arithmetic number, because the mean of its divisors is an integer number (147000).

22676132 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 2676132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

2676132 is an abundant number, since it is smaller than the sum of its proper divisors (4379868).

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

2676132 is a wasteful number, since it uses less digits than its factorization.

2676132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2676132 is about 1635.8887492736. Note that the first 3 decimals coincide. The cubic root of 2676132 is about 138.8361335166.

The spelling of 2676132 in words is "two million, six hundred seventy-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 349 426 639 698 852 1047 1278 1396 1917 2094 2556 3141 3834 4188 6282 7668 9423 12564 18846 24779 37692 49558 74337 99116 148674 223011 297348 446022 669033 892044 1338066 2676132