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66707640 = 23325185299
BaseRepresentation
bin1111111001111…
…0000010111000
311122112002200100
43332132002320
5114034121030
610341435400
71440001626
oct376360270
9148462610
1066707640
113472248a
121a40bb60
1310a8809c
148c06516
155cca360
hex3f9e0b8

66707640 has 48 divisors (see below), whose sum is σ = 216801000. Its totient is φ = 17788608.

The previous prime is 66707623. The next prime is 66707647. The reversal of 66707640 is 4670766.

66707640 is a `hidden beast` number, since 6 + 6 + 7 + 0 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66707595 and 66707604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66707647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92290 + ... + 93009.

Almost surely, 266707640 is an apocalyptic number.

66707640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66707640 is an abundant number, since it is smaller than the sum of its proper divisors (150093360).

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

66707640 is a wasteful number, since it uses less digits than its factorization.

66707640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185316 (or 185309 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 66707640 is about 8167.4745178666. The cubic root of 66707640 is about 405.5631853891.

The spelling of 66707640 in words is "sixty-six million, seven hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 185299 370598 555897 741196 926495 1111794 1482392 1667691 1852990 2223588 2779485 3335382 3705980 4447176 5558970 6670764 7411960 8338455 11117940 13341528 16676910 22235880 33353820 66707640