Search a number
-
+
73147269 = 31315112421
BaseRepresentation
bin1000101110000…
…10001110000101
312002122021012010
410113002032011
5122211203034
611131444433
71545512226
oct427021605
9162567163
1073147269
1138320698
12205b6719
1312201210
149a0124d
15664d3e9
hex45c2385

73147269 has 16 divisors (see below), whose sum is σ = 105736064. Its totient is φ = 44712000.

The previous prime is 73147267. The next prime is 73147279. The reversal of 73147269 is 96274137.

It is not a de Polignac number, because 73147269 - 21 = 73147267 is a prime.

It is a super-2 number, since 2×731472692 = 10701045924316722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73147267) 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 15 ways as a sum of consecutive naturals, for example, 322 + ... + 12099.

It is an arithmetic number, because the mean of its divisors is an integer number (6608504).

Almost surely, 273147269 is an apocalyptic number.

It is an amenable number.

73147269 is a deficient number, since it is larger than the sum of its proper divisors (32588795).

73147269 is a wasteful number, since it uses less digits than its factorization.

73147269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12588.

The product of its digits is 63504, while the sum is 39.

The square root of 73147269 is about 8552.6176694624. The cubic root of 73147269 is about 418.2147751980.

The spelling of 73147269 in words is "seventy-three million, one hundred forty-seven thousand, two hundred sixty-nine".

Divisors: 1 3 13 39 151 453 1963 5889 12421 37263 161473 484419 1875571 5626713 24382423 73147269