Search a number
-
+
1146728 = 231183157
BaseRepresentation
bin100010111111101101000
32011021000102
410113331220
5243143403
640324532
712514142
oct4277550
92137012
101146728
11713610
12473748
13311c4b
1421bc92
15179b88
hex117f68

1146728 has 32 divisors (see below), whose sum is σ = 2388960. Its totient is φ = 511680.

The previous prime is 1146727. The next prime is 1146731. The reversal of 1146728 is 8276411.

It is a self number, because there is not a number n which added to its sum of digits gives 1146728.

It is not an unprimeable number, because it can be changed into a prime (1146727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7226 + ... + 7382.

It is an arithmetic number, because the mean of its divisors is an integer number (74655).

21146728 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 1146728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194480).

1146728 is an abundant number, since it is smaller than the sum of its proper divisors (1242232).

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

1146728 is a wasteful number, since it uses less digits than its factorization.

1146728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 1146728 is about 1070.8538649134. The cubic root of 1146728 is about 104.6694974464.

The spelling of 1146728 in words is "one million, one hundred forty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 83 88 157 166 314 332 628 664 913 1256 1727 1826 3454 3652 6908 7304 13031 13816 26062 52124 104248 143341 286682 573364 1146728