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66300480 = 2632523021
BaseRepresentation
bin1111110011101…
…0101001000000
311121202102011100
43330322221000
5113433103410
610325014400
71433354601
oct374725100
9147672140
1066300480
1134474594
121a254400
131097496c
148b3bda8
155c498c0
hex3f3aa40

66300480 has 84 divisors (see below), whose sum is σ = 228055932. Its totient is φ = 17679360.

The previous prime is 66300463. The next prime is 66300497. The reversal of 66300480 is 8400366.

66300480 = T96 + T97 + ... + T735.

66300480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66300463) and next prime (66300497).

It can be written as a sum of positive squares in 2 ways, for example, as 15492096 + 50808384 = 3936^2 + 7128^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8631 + ... + 14390.

Almost surely, 266300480 is an apocalyptic number.

66300480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66300480 is an abundant number, since it is smaller than the sum of its proper divisors (161755452).

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

66300480 is a wasteful number, since it uses less digits than its factorization.

66300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23044 (or 23031 counting only the distinct ones).

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

The square root of 66300480 is about 8142.5106693206. The cubic root of 66300480 is about 404.7363624855.

The spelling of 66300480 in words is "sixty-six million, three hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 23021 46042 69063 92084 115105 138126 184168 207189 230210 276252 345315 368336 414378 460420 552504 690630 736672 828756 920840 1035945 1105008 1381260 1473344 1657512 1841680 2071890 2210016 2762520 3315024 3683360 4143780 4420032 5525040 6630048 7366720 8287560 11050080 13260096 16575120 22100160 33150240 66300480