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76054005 = 33517311069
BaseRepresentation
bin1001000100001…
…11110111110101
312022002221111000
410202013313311
5123432212010
611314033513
71612306536
oct442076765
9168087430
1076054005
1139a26555
1221578899
13129ab291
14a15a68d
156a247c0
hex4887df5

76054005 has 64 divisors (see below), whose sum is σ = 147916800. Its totient is φ = 36910080.

The previous prime is 76054003. The next prime is 76054049. The reversal of 76054005 is 50045067.

It is not a de Polignac number, because 76054005 - 21 = 76054003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 76054005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76054001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70611 + ... + 71679.

It is an arithmetic number, because the mean of its divisors is an integer number (2311200).

Almost surely, 276054005 is an apocalyptic number.

It is an amenable number.

76054005 is a deficient number, since it is larger than the sum of its proper divisors (71862795).

76054005 is a wasteful number, since it uses less digits than its factorization.

76054005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 76054005 is about 8720.8947362068. The cubic root of 76054005 is about 423.6826660966.

The spelling of 76054005 in words is "seventy-six million, fifty-four thousand, five".

Divisors: 1 3 5 9 15 17 27 31 45 51 85 93 135 153 155 255 279 459 465 527 765 837 1069 1395 1581 2295 2635 3207 4185 4743 5345 7905 9621 14229 16035 18173 23715 28863 33139 48105 54519 71145 90865 99417 144315 163557 165695 272595 298251 490671 497085 563363 817785 894753 1491255 1690089 2453355 2816815 4473765 5070267 8450445 15210801 25351335 76054005