Search a number
-
+
73440720 = 24325102001
BaseRepresentation
bin1000110000010…
…01110111010000
312010012011201200
410120021313100
5122300100340
611142031200
71551143613
oct430116720
9163164650
1073440720
1138501111
1220718500
13122a4962
149a7a17a
1566aa330
hex4609dd0

73440720 has 60 divisors (see below), whose sum is σ = 246640836. Its totient is φ = 19584000.

The previous prime is 73440709. The next prime is 73440769. The reversal of 73440720 is 2704437.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 60652944 = 3576^2 + 7788^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 50281 + ... + 51720.

Almost surely, 273440720 is an apocalyptic number.

It is an amenable number.

73440720 is an abundant number, since it is smaller than the sum of its proper divisors (173200116).

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

73440720 is a wasteful number, since it uses less digits than its factorization.

73440720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102020 (or 102011 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 73440720 is about 8569.7561225510. The cubic root of 73440720 is about 418.7732913458.

The spelling of 73440720 in words is "seventy-three million, four hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 102001 204002 306003 408004 510005 612006 816008 918009 1020010 1224012 1530015 1632016 1836018 2040020 2448024 3060030 3672036 4080040 4590045 4896048 6120060 7344072 8160080 9180090 12240120 14688144 18360180 24480240 36720360 73440720