Search a number
-
+
7296840 = 2332520269
BaseRepresentation
bin11011110101011101001000
3111201201101100
4123311131020
53331444330
6420221400
7116010405
oct33653510
914651340
107296840
114134251
12253a860
131686375
14d7d2ac
15992060
hex6f5748

7296840 has 48 divisors (see below), whose sum is σ = 23715900. Its totient is φ = 1945728.

The previous prime is 7296827. The next prime is 7296841. The reversal of 7296840 is 486927.

It can be written as a sum of positive squares in 2 ways, for example, as 7257636 + 39204 = 2694^2 + 198^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7296795 and 7296804.

It is not an unprimeable number, because it can be changed into a prime (7296841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9775 + ... + 10494.

Almost surely, 27296840 is an apocalyptic number.

It is an amenable number.

7296840 is an abundant number, since it is smaller than the sum of its proper divisors (16419060).

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

7296840 is a wasteful number, since it uses less digits than its factorization.

7296840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20286 (or 20279 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7296840 is about 2701.2663696866. The cubic root of 7296840 is about 193.9597464929.

It can be divided in two parts, 729 and 6840, that added together give a square (7569 = 872).

The spelling of 7296840 in words is "seven million, two hundred ninety-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 20269 40538 60807 81076 101345 121614 162152 182421 202690 243228 304035 364842 405380 486456 608070 729684 810760 912105 1216140 1459368 1824210 2432280 3648420 7296840