Search a number
-
+
73041320 = 23511198737
BaseRepresentation
bin1000101101010…
…00010110101000
312002102212212002
410112220112220
5122144310240
611125310132
71544561312
oct426502650
9162385762
1073041320
1138259030
1220565348
1312194c21
1499b47b2
15662bd15
hex45a85a8

73041320 has 64 divisors (see below), whose sum is σ = 188740800. Its totient is φ = 25159680.

The previous prime is 73041313. The next prime is 73041329. The reversal of 73041320 is 2314037.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 73041292 and 73041301.

It is not an unprimeable number, because it can be changed into a prime (73041329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3992 + ... + 12728.

It is an arithmetic number, because the mean of its divisors is an integer number (2949075).

Almost surely, 273041320 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 73041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94370400).

73041320 is an abundant number, since it is smaller than the sum of its proper divisors (115699480).

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

73041320 is a wasteful number, since it uses less digits than its factorization.

73041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8778 (or 8774 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 73041320 is about 8546.4214733419. The cubic root of 73041320 is about 418.0127587812.

Adding to 73041320 its reverse (2314037), we get a palindrome (75355357).

The spelling of 73041320 in words is "seventy-three million, forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 8737 17474 34948 43685 69896 87370 96107 166003 174740 192214 332006 349480 384428 480535 664012 768856 830015 961070 1328024 1660030 1826033 1922140 3320060 3652066 3844280 6640120 7304132 9130165 14608264 18260330 36520660 73041320