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66380544 = 283247613
BaseRepresentation
bin1111110100111…
…0001100000000
311121220110222200
43331032030000
5113443134134
610330433200
71434140166
oct375161400
9147813880
1066380544
113451975a
121a292800
13109a2239
148b5d236
155c63499
hex3f4e300

66380544 has 108 divisors (see below), whose sum is σ = 195782496. Its totient is φ = 21620736.

The previous prime is 66380491. The next prime is 66380593. The reversal of 66380544 is 44508366.

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 = 66380499 and 66380508.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107982 + ... + 108594.

Almost surely, 266380544 is an apocalyptic number.

66380544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66380544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97891248).

66380544 is an abundant number, since it is smaller than the sum of its proper divisors (129401952).

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

66380544 is a wasteful number, since it uses less digits than its factorization.

66380544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 66380544 is about 8147.4256056745. The cubic root of 66380544 is about 404.8992158914.

The spelling of 66380544 in words is "sixty-six million, three hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 564 576 613 752 768 846 1128 1152 1226 1504 1692 1839 2256 2304 2452 3008 3384 3678 4512 4904 5517 6016 6768 7356 9024 9808 11034 12032 13536 14712 18048 19616 22068 27072 28811 29424 36096 39232 44136 54144 57622 58848 78464 86433 88272 108288 115244 117696 156928 172866 176544 230488 235392 259299 345732 353088 460976 470784 518598 691464 706176 921952 1037196 1382928 1412352 1843904 2074392 2765856 3687808 4148784 5531712 7375616 8297568 11063424 16595136 22126848 33190272 66380544