Search a number
-
+
73150 = 25271119
BaseRepresentation
bin10001110110111110
310201100021
4101312332
54320100
61322354
7423160
oct216676
9121307
1073150
114aa60
12363ba
13273ac
141c930
1516a1a
hex11dbe

73150 has 48 divisors (see below), whose sum is σ = 178560. Its totient is φ = 21600.

The previous prime is 73141. The next prime is 73181. The reversal of 73150 is 5137.

Adding to 73150 its reverse (5137), we get a palindrome (78287).

73150 = T1 + T2 + ... + T75.

73150 is a nontrivial binomial coefficient, being equal to C(77, 3).

It is a congruent number.

It is an unprimeable number.

It is the 75-th tetrahedral 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 23 ways as a sum of consecutive naturals, for example, 3841 + ... + 3859.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

273150 is an apocalyptic number.

73150 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73150 is an abundant number, since it is smaller than the sum of its proper divisors (105410).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

73150 is a wasteful number, since it uses less digits than its factorization.

73150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 73150 is about 270.4625667260. The cubic root of 73150 is about 41.8219979905.

The spelling of 73150 in words is "seventy-three thousand, one hundred fifty".

Divisors: 1 2 5 7 10 11 14 19 22 25 35 38 50 55 70 77 95 110 133 154 175 190 209 266 275 350 385 418 475 550 665 770 950 1045 1330 1463 1925 2090 2926 3325 3850 5225 6650 7315 10450 14630 36575 73150