Search a number
-
+
73104912 = 2432507673
BaseRepresentation
bin1000101101101…
…11111000010000
312002120010002100
410112313320100
5122203324122
611130520400
71545244566
oct426677020
9162503070
1073104912
11382a1891
1220596100
13121b7b5a
1499cda36
156640aac
hex45b7e10

73104912 has 30 divisors (see below), whose sum is σ = 204592622. Its totient is φ = 24368256.

The previous prime is 73104907. The next prime is 73104917. The reversal of 73104912 is 21940137.

It is an interprime number because it is at equal distance from previous prime (73104907) and next prime (73104917).

It can be written as a sum of positive squares in only one way, i.e., 72999936 + 104976 = 8544^2 + 324^2 .

It is not an unprimeable number, because it can be changed into a prime (73104917) 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 5 ways as a sum of consecutive naturals, for example, 253693 + ... + 253980.

Almost surely, 273104912 is an apocalyptic number.

73104912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73104912 is an abundant number, since it is smaller than the sum of its proper divisors (131487710).

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

73104912 is a wasteful number, since it uses less digits than its factorization.

73104912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507687 (or 507678 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 73104912 is about 8550.1410514681. The cubic root of 73104912 is about 418.1340351430.

The spelling of 73104912 in words is "seventy-three million, one hundred four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 507673 1015346 1523019 2030692 3046038 4061384 4569057 6092076 8122768 9138114 12184152 18276228 24368304 36552456 73104912