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1364682165 = 357112233461
BaseRepresentation
bin101000101010111…
…0110010110110101
310112002220000222220
41101111312112311
510243324312130
6343225512553
745550415130
oct12125662665
93462800886
101364682165
11640366a00
12321042759
13189964152
14cd35b217
157ec1a410
hex515765b5

1364682165 has 96 divisors (see below), whose sum is σ = 2760645888. Its totient is φ = 563481600.

The previous prime is 1364682149. The next prime is 1364682169. The reversal of 1364682165 is 5612864631.

It is not a de Polignac number, because 1364682165 - 24 = 1364682149 is a prime.

It is a super-2 number, since 2×13646821652 = 3724714822938174450, which contains 22 as substring.

Its product of digits (207360) is a multiple of the sum of its prime divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364682169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2960035 + ... + 2960495.

It is an arithmetic number, because the mean of its divisors is an integer number (28756728).

Almost surely, 21364682165 is an apocalyptic number.

1364682165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1364682165 is an abundant number, since it is smaller than the sum of its proper divisors (1395963723).

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

1364682165 is a wasteful number, since it uses less digits than its factorization.

1364682165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 720 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 1364682165 is about 36941.6047973014. The cubic root of 1364682165 is about 1109.2016457182.

The spelling of 1364682165 in words is "one billion, three hundred sixty-four million, six hundred eighty-two thousand, one hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 233 363 385 461 605 699 847 1155 1165 1383 1631 1815 2305 2541 2563 3227 3495 4235 4893 5071 6915 7689 8155 9681 12705 12815 15213 16135 17941 24465 25355 28193 35497 38445 48405 53823 55781 76065 84579 89705 106491 107413 140965 167343 177485 197351 269115 278905 322239 390467 422895 532455 537065 592053 751891 836715 986755 1171401 1181543 1611195 1952335 2255673 2960265 3544629 3759455 5857005 5907715 8270801 11278365 12996973 17723145 24812403 38990919 41354005 64984865 90978811 124062015 194954595 272936433 454894055 1364682165