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73064568 = 2334383853
BaseRepresentation
bin1000101101011…
…10000001111000
312002111001202010
410112232001320
5122201031233
611130005520
71545016143
oct426560170
9162431663
1073064568
1138274545
12205768a0
13121a2695
1499bd05a
156633b63
hex45ae078

73064568 has 64 divisors (see below), whose sum is σ = 189383040. Its totient is φ = 23474304.

The previous prime is 73064561. The next prime is 73064569. The reversal of 73064568 is 86546037.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73064561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85230 + ... + 86082.

It is an arithmetic number, because the mean of its divisors is an integer number (2959110).

Almost surely, 273064568 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 73064568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94691520).

73064568 is an abundant number, since it is smaller than the sum of its proper divisors (116318472).

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

73064568 is a wasteful number, since it uses less digits than its factorization.

73064568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 73064568 is about 8547.7814665561. The cubic root of 73064568 is about 418.0571032234.

The spelling of 73064568 in words is "seventy-three million, sixty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 83 86 129 166 172 249 258 332 344 498 516 664 853 996 1032 1706 1992 2559 3412 3569 5118 6824 7138 10236 10707 14276 20472 21414 28552 36679 42828 70799 73358 85656 110037 141598 146716 212397 220074 283196 293432 424794 440148 566392 849588 880296 1699176 3044357 6088714 9133071 12177428 18266142 24354856 36532284 73064568