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66650040 = 233556857
BaseRepresentation
bin1111111000111…
…1111110111000
311122102011200000
43332033332320
5114030300130
610340313000
71436341662
oct376177670
9148364600
1066650040
1134693186
121a3a2760
1310a67ac2
148bcd532
155cb8260
hex3f8ffb8

66650040 has 96 divisors (see below), whose sum is σ = 224668080. Its totient is φ = 17770752.

The previous prime is 66650029. The next prime is 66650057. The reversal of 66650040 is 4005666.

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 = 66649986 and 66650013.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6292 + ... + 13148.

Almost surely, 266650040 is an apocalyptic number.

66650040 is a gapful number since it is divisible by the number (60) 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 66650040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

66650040 is an abundant number, since it is smaller than the sum of its proper divisors (158018040).

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

66650040 is a wasteful number, since it uses less digits than its factorization.

66650040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66650040 is about 8163.9475745499. The cubic root of 66650040 is about 405.4464213204.

The spelling of 66650040 in words is "sixty-six million, six hundred fifty 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 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 6857 9720 13714 20571 27428 34285 41142 54856 61713 68570 82284 102855 123426 137140 164568 185139 205710 246852 274280 308565 370278 411420 493704 555417 617130 740556 822840 925695 1110834 1234260 1481112 1666251 1851390 2221668 2468520 2777085 3332502 3702780 4443336 5554170 6665004 7405560 8331255 11108340 13330008 16662510 22216680 33325020 66650040