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66870765 = 345132977
BaseRepresentation
bin1111111100010…
…1110111101101
311122211101110000
43333011313231
5114104331030
610345134513
71441251333
oct377056755
9148741400
1066870765
1134823aa5
121a48a439
1310b14400
148c49b53
155d0d860
hex3fc5ded

66870765 has 60 divisors (see below), whose sum is σ = 129935124. Its totient is φ = 32887296.

The previous prime is 66870761. The next prime is 66870799. The reversal of 66870765 is 56707866.

It can be written as a sum of positive squares in 6 ways, for example, as 2566404 + 64304361 = 1602^2 + 8019^2 .

It is not a de Polignac number, because 66870765 - 22 = 66870761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 66870765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66870761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 67957 + ... + 68933.

Almost surely, 266870765 is an apocalyptic number.

66870765 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66870765 is a deficient number, since it is larger than the sum of its proper divisors (63064359).

66870765 is a wasteful number, since it uses less digits than its factorization.

66870765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 66870765 is about 8177.4546773431. The cubic root of 66870765 is about 405.8935005834.

The spelling of 66870765 in words is "sixty-six million, eight hundred seventy thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 169 195 351 405 507 585 845 977 1053 1521 1755 2535 2931 4563 4885 5265 7605 8793 12701 13689 14655 22815 26379 38103 43965 63505 68445 79137 114309 131895 165113 190515 342927 395685 495339 571545 825565 1028781 1486017 1714635 2476695 4458051 5143905 7430085 13374153 22290255 66870765