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74085165 = 3357117127
BaseRepresentation
bin1000110101001…
…11001100101101
312011101220202000
410122213030231
5122431211130
611203522513
71556466510
oct432471455
9164356660
1074085165
1138901310
1220989439
131246c09b
149ba6d77
156786260
hex46a732d

74085165 has 64 divisors (see below), whose sum is σ = 164229120. Its totient is φ = 30784320.

The previous prime is 74085157. The next prime is 74085181. The reversal of 74085165 is 56158047.

It is not a de Polignac number, because 74085165 - 23 = 74085157 is a prime.

It is a super-2 number, since 2×740851652 = 10977223346154450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6832 + ... + 13958.

It is an arithmetic number, because the mean of its divisors is an integer number (2566080).

Almost surely, 274085165 is an apocalyptic number.

It is an amenable number.

74085165 is an abundant number, since it is smaller than the sum of its proper divisors (90143955).

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

74085165 is a wasteful number, since it uses less digits than its factorization.

74085165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 74085165 is about 8607.2739586933. The cubic root of 74085165 is about 419.9946427888.

It can be divided in two parts, 740 and 85165, that added together give a triangular number (85905 = T414).

The spelling of 74085165 in words is "seventy-four million, eighty-five thousand, one hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1485 2079 3465 7127 10395 21381 35635 49889 64143 78397 106905 149667 192429 235191 249445 320715 391985 449001 548779 705573 748335 962145 1175955 1347003 1646337 2116719 2245005 2743895 3527865 4939011 6735015 8231685 10583595 14817033 24695055 74085165