Search a number
-
+
73841320 = 2357436133
BaseRepresentation
bin1000110011010…
…11101010101000
312010221112020201
410121223222220
5122400410240
611154401544
71554432550
oct431535250
9163845221
1073841320
1138755093
12208902b4
13123b50b7
149b42160
156738d9a
hex466baa8

73841320 has 64 divisors (see below), whose sum is σ = 194325120. Its totient is φ = 24724224.

The previous prime is 73841309. The next prime is 73841323. The reversal of 73841320 is 2314837.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (73841323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8974 + ... + 15106.

It is an arithmetic number, because the mean of its divisors is an integer number (3036330).

Almost surely, 273841320 is an apocalyptic number.

73841320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73841320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97162560).

73841320 is an abundant number, since it is smaller than the sum of its proper divisors (120483800).

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

73841320 is a wasteful number, since it uses less digits than its factorization.

73841320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 73841320 is about 8593.0972297537. The cubic root of 73841320 is about 419.5333441314.

The spelling of 73841320 in words is "seventy-three million, eight hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 6133 12040 12266 24532 30665 42931 49064 61330 85862 122660 171724 214655 245320 263719 343448 429310 527438 858620 1054876 1318595 1717240 1846033 2109752 2637190 3692066 5274380 7384132 9230165 10548760 14768264 18460330 36920660 73841320