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66654480 = 24351931439
BaseRepresentation
bin1111111001000…
…1000100010000
311122102101202110
43332101010100
5114030420410
610340345320
71436360634
oct376210420
9148371673
1066654480
1134696552
121a3a5240
1310a69b29
148bd0dc4
155cb9720
hex3f91110

66654480 has 80 divisors (see below), whose sum is σ = 207843840. Its totient is φ = 17670144.

The previous prime is 66654421. The next prime is 66654487. The reversal of 66654480 is 8445666.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (66654487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45601 + ... + 47039.

It is an arithmetic number, because the mean of its divisors is an integer number (2598048).

Almost surely, 266654480 is an apocalyptic number.

66654480 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 66654480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103921920).

66654480 is an abundant number, since it is smaller than the sum of its proper divisors (141189360).

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

66654480 is a wasteful number, since it uses less digits than its factorization.

66654480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 66654480 is about 8164.2194972943. The cubic root of 66654480 is about 405.4554242765.

The spelling of 66654480 in words is "sixty-six million, six hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 579 772 965 1158 1439 1544 1930 2316 2878 2895 3088 3860 4317 4632 5756 5790 7195 7720 8634 9264 11512 11580 14390 15440 17268 21585 23024 23160 28780 34536 43170 46320 57560 69072 86340 115120 172680 277727 345360 555454 833181 1110908 1388635 1666362 2221816 2777270 3332724 4165905 4443632 5554540 6665448 8331810 11109080 13330896 16663620 22218160 33327240 66654480