Search a number
-
+
73133790 = 23523831277
BaseRepresentation
bin1000101101111…
…10111011011110
312002121120200220
410112332323132
5122210240130
611131302210
71545425022
oct426767336
9162546626
1073133790
1138311554
12205aa966
13121c8042
1499da382
156649410
hex45beede

73133790 has 64 divisors (see below), whose sum is σ = 185504256. Its totient is φ = 18415232.

The previous prime is 73133773. The next prime is 73133803. The reversal of 73133790 is 9733137.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56632 + ... + 57908.

It is an arithmetic number, because the mean of its divisors is an integer number (2898504).

Almost surely, 273133790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73133790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92752128).

73133790 is an abundant number, since it is smaller than the sum of its proper divisors (112370466).

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

73133790 is a wasteful number, since it uses less digits than its factorization.

73133790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393.

The product of its (nonzero) digits is 11907, while the sum is 33.

The square root of 73133790 is about 8551.8296287987. The cubic root of 73133790 is about 418.1890851833.

The spelling of 73133790 in words is "seventy-three million, one hundred thirty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 83 115 138 166 230 249 345 415 498 690 830 1245 1277 1909 2490 2554 3818 3831 5727 6385 7662 9545 11454 12770 19090 19155 28635 29371 38310 57270 58742 88113 105991 146855 176226 211982 293710 317973 440565 529955 635946 881130 1059910 1589865 2437793 3179730 4875586 7313379 12188965 14626758 24377930 36566895 73133790