Search a number
-
+
73096200 = 23325240609
BaseRepresentation
bin1000101101101…
…01110000001000
312002112200010200
410112311300020
5122203034300
611130412200
71545210312
oct426656010
9162480120
1073096200
1138296291
1220591060
13121b3bb8
1499ca7b2
15663d200
hex45b5c08

73096200 has 72 divisors (see below), whose sum is σ = 245487450. Its totient is φ = 19491840.

The previous prime is 73096189. The next prime is 73096223. The reversal of 73096200 is 269037.

73096200 is a `hidden beast` number, since 7 + 30 + 9 + 620 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 43480836 + 29615364 = 6594^2 + 5442^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 18505 + ... + 22104.

Almost surely, 273096200 is an apocalyptic number.

It is an amenable number.

73096200 is an abundant number, since it is smaller than the sum of its proper divisors (172391250).

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

73096200 is a wasteful number, since it uses less digits than its factorization.

73096200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40631 (or 40619 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 73096200 is about 8549.6315710094. The cubic root of 73096200 is about 418.1174246384.

The spelling of 73096200 in words is "seventy-three million, ninety-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 40609 81218 121827 162436 203045 243654 324872 365481 406090 487308 609135 730962 812180 974616 1015225 1218270 1461924 1624360 1827405 2030450 2436540 2923848 3045675 3654810 4060900 4873080 6091350 7309620 8121800 9137025 12182700 14619240 18274050 24365400 36548100 73096200