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66760032 = 2531395003
BaseRepresentation
bin1111111010101…
…0110101100000
311122121202112210
43332222311200
5114042310112
610342522120
71440310443
oct376526540
9148552483
1066760032
1134758889
121a436340
1310aa5ba1
148c1b65a
155cdab3c
hex3faad60

66760032 has 48 divisors (see below), whose sum is σ = 176541120. Its totient is φ = 22088832.

The previous prime is 66760027. The next prime is 66760049. The reversal of 66760032 is 23006766.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10843 + ... + 15845.

It is an arithmetic number, because the mean of its divisors is an integer number (3677940).

Almost surely, 266760032 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 66760032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88270560).

66760032 is an abundant number, since it is smaller than the sum of its proper divisors (109781088).

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

66760032 is a wasteful number, since it uses less digits than its factorization.

66760032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 66760032 is about 8170.6812445475. The cubic root of 66760032 is about 405.6693336807.

Adding to 66760032 its reverse (23006766), we get a palindrome (89766798).

The spelling of 66760032 in words is "sixty-six million, seven hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 5003 6672 10006 13344 15009 20012 30018 40024 60036 80048 120072 160096 240144 480288 695417 1390834 2086251 2781668 4172502 5563336 8345004 11126672 16690008 22253344 33380016 66760032