Search a number
-
+
73760080 = 2452340087
BaseRepresentation
bin1000110010101…
…11110101010000
312010210101210211
410121113311100
5122340310310
611152533504
71553643652
oct431276520
9163711724
1073760080
11386aa049
1220851294
1312387124
149b206d2
15671ec8a
hex4657d50

73760080 has 40 divisors (see below), whose sum is σ = 178952832. Its totient is φ = 28220544.

The previous prime is 73760077. The next prime is 73760081. The reversal of 73760080 is 8006737.

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

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73760081) 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 7 ways as a sum of consecutive naturals, for example, 18204 + ... + 21883.

Almost surely, 273760080 is an apocalyptic number.

It is an amenable number.

73760080 is an abundant number, since it is smaller than the sum of its proper divisors (105192752).

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

73760080 is a wasteful number, since it uses less digits than its factorization.

73760080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40123 (or 40117 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 73760080 is about 8588.3688788966. The cubic root of 73760080 is about 419.3794312281.

The spelling of 73760080 in words is "seventy-three million, seven hundred sixty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 40087 80174 160348 200435 320696 400870 641392 801740 922001 1603480 1844002 3206960 3688004 4610005 7376008 9220010 14752016 18440020 36880040 73760080