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10520001765 = 345713397719
BaseRepresentation
bin10011100110000101…
…00111110011100101
31000011011020110110000
421303002213303211
5133021110024030
64455520051513
7521460353040
oct116302476345
930134213400
1010520001765
1145092a3039
122057163b99
13cb8656720
1471b243c57
15418877860
hex2730a7ce5

10520001765 has 160 divisors (see below), whose sum is σ = 23300766720. Its totient is φ = 4421869056.

The previous prime is 10520001743. The next prime is 10520001781. The reversal of 10520001765 is 56710002501.

It is not a de Polignac number, because 10520001765 - 28 = 10520001509 is a prime.

It is a super-2 number, since 2×105200017652 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14631076 + ... + 14631794.

It is an arithmetic number, because the mean of its divisors is an integer number (145629792).

Almost surely, 210520001765 is an apocalyptic number.

10520001765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10520001765 is an abundant number, since it is smaller than the sum of its proper divisors (12780764955).

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

10520001765 is a wasteful number, since it uses less digits than its factorization.

10520001765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 10520001765 in words is "ten billion, five hundred twenty million, one thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 273 315 351 397 405 455 567 585 719 819 945 1053 1191 1365 1755 1985 2157 2457 2779 2835 3573 3595 4095 5033 5161 5265 5955 6471 7371 8337 9347 10719 10785 12285 13895 15099 15483 17865 19413 25011 25165 25805 28041 32157 32355 36127 36855 41685 45297 46449 46735 53595 58239 65429 75033 75495 77415 84123 97065 108381 125055 135891 139347 140205 160785 180635 196287 225099 226485 232245 252369 285443 291195 325143 327145 375165 407673 418041 420615 541905 588861 679455 696735 757107 856329 975429 981435 1125495 1261845 1427215 1625715 1766583 1998101 2038365 2090205 2568987 2926287 2944305 3710759 3785535 4281645 4877145 5299749 5994303 7706961 8832915 9990505 11132277 12844935 14631435 17982909 18553795 23120883 25975313 26498745 29971515 33396831 38534805 53948727 55661385 77925939 89914545 100190493 115604415 129876565 161846181 166984155 233777817 269743635 300571479 389629695 500952465 701333451 809230905 1168889085 1502857395 2104000353 3506667255 10520001765