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66760416 = 253377269
BaseRepresentation
bin1111111010101…
…0111011100000
311122121210002000
43332222323200
5114042313131
610342524000
71440311532
oct376527340
9148553060
1066760416
11347590a8
121a436600
1310aa6108
148c1b852
155cdace6
hex3faaee0

66760416 has 48 divisors (see below), whose sum is σ = 194720400. Its totient is φ = 22253184.

The previous prime is 66760409. The next prime is 66760439. The reversal of 66760416 is 61406766.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 37771 + ... + 39498.

It is an arithmetic number, because the mean of its divisors is an integer number (4056675).

Almost surely, 266760416 is an apocalyptic number.

It is an amenable number.

66760416 is an abundant number, since it is smaller than the sum of its proper divisors (127959984).

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

66760416 is a wasteful number, since it uses less digits than its factorization.

66760416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77288 (or 77274 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66760416 is about 8170.7047431663. The cubic root of 66760416 is about 405.6701114750.

It can be divided in two parts, 66760 and 416, that added together give a palindrome (67176).

The spelling of 66760416 in words is "sixty-six million, seven hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 77269 154538 231807 309076 463614 618152 695421 927228 1236304 1390842 1854456 2086263 2472608 2781684 3708912 4172526 5563368 7417824 8345052 11126736 16690104 22253472 33380208 66760416