Search a number
-
+
73340020 = 22513311907
BaseRepresentation
bin1000101111100…
…01010001110100
312010000001121001
410113301101310
5122233340040
611135533044
71550244205
oct427612164
9163001531
1073340020
1138442496
122068a184
131226ab80
149a515ac
15668a59a
hex45f1474

73340020 has 48 divisors (see below), whose sum is σ = 166578048. Its totient is φ = 26962560.

The previous prime is 73340011. The next prime is 73340027. The reversal of 73340020 is 2004337.

It is a self number, because there is not a number n which added to its sum of digits gives 73340020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73340027) 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, 80407 + ... + 81313.

It is an arithmetic number, because the mean of its divisors is an integer number (3470376).

Almost surely, 273340020 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 73340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83289024).

73340020 is an abundant number, since it is smaller than the sum of its proper divisors (93238028).

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

73340020 is a wasteful number, since it uses less digits than its factorization.

73340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 73340020 is about 8563.8787940979. The cubic root of 73340020 is about 418.5818001245.

Adding to 73340020 its reverse (2004337), we get a palindrome (75344357).

The spelling of 73340020 in words is "seventy-three million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 311 622 907 1244 1555 1814 3110 3628 4043 4535 6220 8086 9070 11791 16172 18140 20215 23582 40430 47164 58955 80860 117910 235820 282077 564154 1128308 1410385 2820770 3667001 5641540 7334002 14668004 18335005 36670010 73340020