Search a number
-
+
1065376 = 25132197
BaseRepresentation
bin100000100000110100000
32000010102101
410010012200
5233043001
634500144
712025024
oct4040640
92003371
101065376
11668484
12434654
132b3c00
141da384
15160a01
hex1041a0

1065376 has 36 divisors (see below), whose sum is σ = 2282742. Its totient is φ = 489216.

The previous prime is 1065347. The next prime is 1065391. The reversal of 1065376 is 6735601.

It can be written as a sum of positive squares in 3 ways, for example, as 853776 + 211600 = 924^2 + 460^2 .

It is a super-2 number, since 2×10653762 = 2270052042752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5310 + ... + 5506.

21065376 is an apocalyptic number.

1065376 is a gapful number since it is divisible by the number (16) 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 1065376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141371).

1065376 is an abundant number, since it is smaller than the sum of its proper divisors (1217366).

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

1065376 is a wasteful number, since it uses less digits than its factorization.

1065376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 1065376 is about 1032.1705285465. The cubic root of 1065376 is about 102.1333639347.

Adding to 1065376 its product of nonzero digits (3780), we get a square (1069156 = 10342).

It can be divided in two parts, 10653 and 76, that multiplied together give a triangular number (809628 = T1272).

The spelling of 1065376 in words is "one million, sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 197 208 338 394 416 676 788 1352 1576 2561 2704 3152 5122 5408 6304 10244 20488 33293 40976 66586 81952 133172 266344 532688 1065376