Search a number
-
+
73088704 = 2613107821
BaseRepresentation
bin1000101101100…
…11111011000000
312002112021212001
410112303323000
5122202314304
611130313344
71545146413
oct426637300
9162467761
1073088704
1138290697
1220588854
13121b0670
1499c7b7a
15663ada4
hex45b3ec0

73088704 has 56 divisors (see below), whose sum is σ = 157843728. Its totient is φ = 33377280.

The previous prime is 73088677. The next prime is 73088707. The reversal of 73088704 is 40788037.

It is not an unprimeable number, because it can be changed into a prime (73088707) 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 7 ways as a sum of consecutive naturals, for example, 88614 + ... + 89434.

It is an arithmetic number, because the mean of its divisors is an integer number (2818638).

Almost surely, 273088704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73088704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78921864).

73088704 is an abundant number, since it is smaller than the sum of its proper divisors (84755024).

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

73088704 is a wasteful number, since it uses less digits than its factorization.

73088704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 73088704 is about 8549.1931783064. The cubic root of 73088704 is about 418.1031315317.

The spelling of 73088704 in words is "seventy-three million, eighty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 208 214 416 428 821 832 856 1391 1642 1712 2782 3284 3424 5564 6568 6848 10673 11128 13136 21346 22256 26272 42692 44512 52544 85384 87847 89024 170768 175694 341536 351388 683072 702776 1142011 1405552 2284022 2811104 4568044 5622208 9136088 18272176 36544352 73088704