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73440080 = 2457131143
BaseRepresentation
bin1000110000010…
…01101101010000
312010012010211222
410120021231100
5122300040310
611142024212
71551142010
oct430115520
9163163758
1073440080
113850068a
1220718068
13122a458c
149a79c40
1566aa055
hex4609b50

73440080 has 40 divisors (see below), whose sum is σ = 195142272. Its totient is φ = 25179264.

The previous prime is 73440077. The next prime is 73440089. The reversal of 73440080 is 8004437.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73440089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65012 + ... + 66131.

Almost surely, 273440080 is an apocalyptic number.

73440080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73440080 is an abundant number, since it is smaller than the sum of its proper divisors (121702192).

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

73440080 is a wasteful number, since it uses less digits than its factorization.

73440080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131163 (or 131157 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 73440080 is about 8569.7187818504. The cubic root of 73440080 is about 418.7720748740.

The spelling of 73440080 in words is "seventy-three million, four hundred forty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 131143 262286 524572 655715 918001 1049144 1311430 1836002 2098288 2622860 3672004 4590005 5245720 7344008 9180010 10491440 14688016 18360020 36720040 73440080