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66380040 = 2333561463
BaseRepresentation
bin1111110100111…
…0000100001000
311121220110022000
43331032010020
5113443130130
610330431000
71434135546
oct375160410
9147813260
1066380040
1134519341
121a292460
13109a1c3c
148b5cd96
155c63260
hex3f4e108

66380040 has 64 divisors (see below), whose sum is σ = 221270400. Its totient is φ = 17701056.

The previous prime is 66380011. The next prime is 66380051. The reversal of 66380040 is 4008366.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66379986 and 66380013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29652 + ... + 31811.

It is an arithmetic number, because the mean of its divisors is an integer number (3457350).

Almost surely, 266380040 is an apocalyptic number.

66380040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66380040 is an abundant number, since it is smaller than the sum of its proper divisors (154890360).

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

66380040 is a wasteful number, since it uses less digits than its factorization.

66380040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61483 (or 61473 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66380040 is about 8147.3946756003. The cubic root of 66380040 is about 404.8981911447.

The spelling of 66380040 in words is "sixty-six million, three hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 61463 122926 184389 245852 307315 368778 491704 553167 614630 737556 921945 1106334 1229260 1475112 1659501 1843890 2212668 2458520 2765835 3319002 3687780 4425336 5531670 6638004 7375560 8297505 11063340 13276008 16595010 22126680 33190020 66380040