Search a number
-
+
2276032 = 26115361
BaseRepresentation
bin1000101011101011000000
311021122010111
420223223000
51040313112
6120441104
725226443
oct10535300
94248114
102276032
111315020
12919194
13618c85
1443365a
152ee5a7
hex22bac0

2276032 has 56 divisors (see below), whose sum is σ = 5102352. Its totient is φ = 998400.

The previous prime is 2275993. The next prime is 2276041. The reversal of 2276032 is 2306722.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 27 + 211 + 76 + 6 + 0 + 310 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 2275994 and 2276012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37282 + ... + 37342.

22276032 is an apocalyptic number.

2276032 is a gapful number since it is divisible by the number (22) 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 2276032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551176).

2276032 is an abundant number, since it is smaller than the sum of its proper divisors (2826320).

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

2276032 is a wasteful number, since it uses less digits than its factorization.

2276032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 2276032 is about 1508.6523787805. The cubic root of 2276032 is about 131.5404897797.

The spelling of 2276032 in words is "two million, two hundred seventy-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 61 64 88 106 122 176 212 244 352 424 488 583 671 704 848 976 1166 1342 1696 1952 2332 2684 3233 3392 3904 4664 5368 6466 9328 10736 12932 18656 21472 25864 35563 37312 42944 51728 71126 103456 142252 206912 284504 569008 1138016 2276032