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73806131 = 729363577
BaseRepresentation
bin1000110011000…
…11000100110011
312010212201222102
410121203010303
5122343244011
611153531015
71554225140
oct431430463
9163781872
1073806131
1138730703
1220873a6b
13123a2089
149b333c7
15672d73b
hex4663133

73806131 has 8 divisors (see below), whose sum is σ = 87258720. Its totient is φ = 61080768.

The previous prime is 73806119. The next prime is 73806143. The reversal of 73806131 is 13160837.

It is an interprime number because it is at equal distance from previous prime (73806119) and next prime (73806143).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 73806131 - 210 = 73805107 is a prime.

It is a super-2 number, since 2×738061312 = 10894689946378322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73806094 and 73806103.

It is not an unprimeable number, because it can be changed into a prime (73806101) 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, 181586 + ... + 181991.

It is an arithmetic number, because the mean of its divisors is an integer number (10907340).

Almost surely, 273806131 is an apocalyptic number.

73806131 is a deficient number, since it is larger than the sum of its proper divisors (13452589).

73806131 is a wasteful number, since it uses less digits than its factorization.

73806131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363613.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 73806131 is about 8591.0494702335. The cubic root of 73806131 is about 419.4666908242.

Adding to 73806131 its reverse (13160837), we get a palindrome (86966968).

It can be divided in two parts, 73806 and 131, that added together give a palindrome (73937).

The spelling of 73806131 in words is "seventy-three million, eight hundred six thousand, one hundred thirty-one".

Divisors: 1 7 29 203 363577 2545039 10543733 73806131