Search a number
-
+
73168092 = 223237163337
BaseRepresentation
bin1000101110001…
…11010011011100
312002200022202100
410113013103130
5122212334332
611132125100
71545630024
oct427072334
9162608670
1073168092
11383352a8
1220606790
131220a83a
149a08a84
15665467c
hex45c74dc

73168092 has 72 divisors (see below), whose sum is σ = 191683856. Its totient is φ = 23514624.

The previous prime is 73168079. The next prime is 73168099. The reversal of 73168092 is 29086137.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73168099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216948 + ... + 217284.

Almost surely, 273168092 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 73168092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95841928).

73168092 is an abundant number, since it is smaller than the sum of its proper divisors (118515764).

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

73168092 is a wasteful number, since it uses less digits than its factorization.

73168092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 73168092 is about 8553.8349294337. The cubic root of 73168092 is about 418.2544561511.

The spelling of 73168092 in words is "seventy-three million, one hundred sixty-eight thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 163 222 326 333 337 444 489 652 666 674 978 1011 1332 1348 1467 1956 2022 2934 3033 4044 5868 6031 6066 12062 12132 12469 18093 24124 24938 36186 37407 49876 54279 54931 72372 74814 108558 109862 112221 149628 164793 217116 219724 224442 329586 448884 494379 659172 988758 1977516 2032447 4064894 6097341 8129788 12194682 18292023 24389364 36584046 73168092