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66717480 = 23352321051
BaseRepresentation
bin1111111010000…
…0011100101000
311122112121011210
43332200130220
5114034424410
610341553120
71440042414
oct376403450
9148477153
1066717480
1134729915
121a4157a0
1310a8c6cb
148c09d44
155ccd220
hex3fa0728

66717480 has 96 divisors (see below), whose sum is σ = 209432160. Its totient is φ = 17001600.

The previous prime is 66717463. The next prime is 66717481. The reversal of 66717480 is 8471766.

66717480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66717481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62955 + ... + 64005.

It is an arithmetic number, because the mean of its divisors is an integer number (2181585).

Almost surely, 266717480 is an apocalyptic number.

66717480 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 66717480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104716080).

66717480 is an abundant number, since it is smaller than the sum of its proper divisors (142714680).

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

66717480 is a wasteful number, since it uses less digits than its factorization.

66717480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 66717480 is about 8168.0768850446. The cubic root of 66717480 is about 405.5831258614.

The spelling of 66717480 in words is "sixty-six million, seven hundred seventeen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1051 1058 1380 1587 2102 2116 2645 2760 3153 3174 4204 4232 5255 5290 6306 6348 7935 8408 10510 10580 12612 12696 15765 15870 21020 21160 24173 25224 31530 31740 42040 48346 63060 63480 72519 96692 120865 126120 145038 193384 241730 290076 362595 483460 555979 580152 725190 966920 1111958 1450380 1667937 2223916 2779895 2900760 3335874 4447832 5559790 6671748 8339685 11119580 13343496 16679370 22239160 33358740 66717480