Search a number
-
+
7142436 = 2232724049
BaseRepresentation
bin11011001111110000100100
3111102212120200
4123033300210
53312024221
6413030500
7114465300
oct33176044
914385520
107142436
114039244
122485430
131630cc2
14d3cd00
15961426
hex6cfc24

7142436 has 54 divisors (see below), whose sum is σ = 21007350. Its totient is φ = 2040192.

The previous prime is 7142419. The next prime is 7142437. The reversal of 7142436 is 6342417.

It can be written as a sum of positive squares in only one way, i.e., 5336100 + 1806336 = 2310^2 + 1344^2 .

It is a super-3 number, since 3×71424363 (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7142437) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 261 + ... + 3788.

It is an arithmetic number, because the mean of its divisors is an integer number (389025).

Almost surely, 27142436 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 7142436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503675).

7142436 is an abundant number, since it is smaller than the sum of its proper divisors (13864914).

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

7142436 is a wasteful number, since it uses less digits than its factorization.

7142436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4061 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 7142436 is about 2672.5336293487. The cubic root of 7142436 is about 192.5818935305.

The spelling of 7142436 in words is "seven million, one hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 4049 8098 12147 16196 24294 28343 36441 48588 56686 72882 85029 113372 145764 170058 198401 255087 340116 396802 510174 595203 793604 1020348 1190406 1785609 2380812 3571218 7142436