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73078005 = 357111331157
BaseRepresentation
bin1000101101100…
…01010011110101
312002111202011210
410112301103311
5122201444010
611130152033
71545103260
oct426612365
9162452153
1073078005
1138283650
1220582619
13121a8830
1499c3cd7
156637b20
hex45b14f5

73078005 has 128 divisors (see below), whose sum is σ = 163086336. Its totient is φ = 26956800.

The previous prime is 73078001. The next prime is 73078007. The reversal of 73078005 is 50087037.

73078005 is a nontrivial binomial coefficient, being equal to C(12090, 2).

It is not a de Polignac number, because 73078005 - 22 = 73078001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73078001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 465387 + ... + 465543.

It is an arithmetic number, because the mean of its divisors is an integer number (1274112).

Almost surely, 273078005 is an apocalyptic number.

73078005 is the 12089-th triangular number and also the 6045-th hexagonal number.

It is an amenable number.

73078005 is an abundant number, since it is smaller than the sum of its proper divisors (90008331).

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

73078005 is a wasteful number, since it uses less digits than its factorization.

73078005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 73078005 is about 8548.5674238436. The cubic root of 73078005 is about 418.0827293653.

The spelling of 73078005 in words is "seventy-three million, seventy-eight thousand, five".

Divisors: 1 3 5 7 11 13 15 21 31 33 35 39 55 65 77 91 93 105 143 155 157 165 195 217 231 273 341 385 403 429 455 465 471 651 715 785 1001 1023 1085 1099 1155 1209 1365 1705 1727 2015 2041 2145 2355 2387 2821 3003 3255 3297 4433 4867 5005 5115 5181 5495 6045 6123 7161 8463 8635 10205 11935 12089 13299 14105 14287 14601 15015 16485 22165 22451 24335 25905 30615 31031 34069 35805 36267 42315 42861 53537 60445 63271 66495 67353 71435 73005 93093 102207 112255 155155 157157 160611 170345 181335 189813 214305 267685 316355 336765 374759 442897 465465 471471 511035 695981 785785 803055 949065 1124277 1328691 1873795 2087943 2214485 2357355 3479905 4871867 5621385 6643455 10439715 14615601 24359335 73078005