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66975132 = 22371037741
BaseRepresentation
bin1111111101111…
…1010110011100
311200000200121110
43333133112130
5114121201012
610351302020
71442164530
oct377372634
9150020543
1066975132
1134895454
121a51a910
1310b4ca73
148c75bc0
155d2e73c
hex3fdf59c

66975132 has 48 divisors (see below), whose sum is σ = 180357632. Its totient is φ = 18947520.

The previous prime is 66975131. The next prime is 66975163. The reversal of 66975132 is 23157966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66975131) 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 15 ways as a sum of consecutive naturals, for example, 4782 + ... + 12522.

Almost surely, 266975132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66975132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90178816).

66975132 is an abundant number, since it is smaller than the sum of its proper divisors (113382500).

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

66975132 is a wasteful number, since it uses less digits than its factorization.

66975132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7858 (or 7856 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 66975132 is about 8183.8335760205. The cubic root of 66975132 is about 406.1045537874.

The spelling of 66975132 in words is "sixty-six million, nine hundred seventy-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 309 412 618 721 1236 1442 2163 2884 4326 7741 8652 15482 23223 30964 46446 54187 92892 108374 162561 216748 325122 650244 797323 1594646 2391969 3189292 4783938 5581261 9567876 11162522 16743783 22325044 33487566 66975132