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66960465 = 351113193153
BaseRepresentation
bin1111111101101…
…1110001010001
311122222221111020
43333123301101
5114120213330
610351110053
71442104005
oct377336121
9148887436
1066960465
1134885430
121a512329
1310b461a0
148c70705
155d2a210
hex3fdbc51

66960465 has 128 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 26956800.

The previous prime is 66960461. The next prime is 66960511. The reversal of 66960465 is 56406966.

It is not a de Polignac number, because 66960465 - 22 = 66960461 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66960461) 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 127 ways as a sum of consecutive naturals, for example, 1263379 + ... + 1263431.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 266960465 is an apocalyptic number.

66960465 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66960465 is an abundant number, since it is smaller than the sum of its proper divisors (72385455).

66960465 is a wasteful number, since it uses less digits than its factorization.

66960465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135.

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 66960465 is about 8182.9374310207. The cubic root of 66960465 is about 406.0749071103.

It can be divided in two parts, 66960 and 465, that multiplied together give a square (31136400 = 55802).

The spelling of 66960465 in words is "sixty-six million, nine hundred sixty thousand, four hundred sixty-five".

Divisors: 1 3 5 11 13 15 19 31 33 39 53 55 57 65 93 95 143 155 159 165 195 209 247 265 285 341 403 429 465 583 589 627 689 715 741 795 1007 1023 1045 1209 1235 1643 1705 1749 1767 2015 2067 2145 2717 2915 2945 3021 3135 3445 3705 4433 4929 5035 5115 6045 6479 7579 7657 8151 8215 8745 8835 10335 11077 13091 13299 13585 15105 18073 19437 21359 22165 22737 22971 24645 31217 32395 33231 37895 38285 39273 40755 54219 55385 64077 65455 66495 84227 90365 93651 97185 106795 113685 114855 144001 156085 166155 196365 234949 252681 271095 320385 343387 405821 421135 432003 468255 704847 720005 1030161 1174745 1217463 1263405 1716935 2029105 2160015 3524235 4464031 5150805 6087315 13392093 22320155 66960465