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7145313 = 37597379
BaseRepresentation
bin11011010000011101100001
3111110000112020
4123100131201
53312122223
6413052053
7114506550
oct33203541
914400466
107145313
11404041a
122487029
1316323c6
14d3dd97
159621e3
hex6d0761

7145313 has 32 divisors (see below), whose sum is σ = 11366400. Its totient is φ = 3908736.

The previous prime is 7145291. The next prime is 7145377. The reversal of 7145313 is 3135417.

It is not a de Polignac number, because 7145313 - 210 = 7144289 is a prime.

It is an Ulam number.

7145313 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7145393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90408 + ... + 90486.

It is an arithmetic number, because the mean of its divisors is an integer number (355200).

Almost surely, 27145313 is an apocalyptic number.

7145313 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

7145313 is a deficient number, since it is larger than the sum of its proper divisors (4221087).

7145313 is a wasteful number, since it uses less digits than its factorization.

7145313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221.

The product of its digits is 1260, while the sum is 24.

The square root of 7145313 is about 2673.0718284401. The cubic root of 7145313 is about 192.6077476290.

The spelling of 7145313 in words is "seven million, one hundred forty-five thousand, three hundred thirteen".

Divisors: 1 3 7 21 59 73 79 177 219 237 413 511 553 1239 1533 1659 4307 4661 5767 12921 13983 17301 30149 32627 40369 90447 97881 121107 340253 1020759 2381771 7145313