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66434720 = 2551137747
BaseRepresentation
bin1111110101101…
…1011010100000
311122000020022012
43331123122200
5114001402340
610331532052
71434454142
oct375333240
9148006265
1066434720
1134556430
121a2ba028
13109c0ab1
148b74c92
155c74565
hex3f5b6a0

66434720 has 48 divisors (see below), whose sum is σ = 171224928. Its totient is φ = 24157440.

The previous prime is 66434717. The next prime is 66434723. The reversal of 66434720 is 2743466.

It is an interprime number because it is at equal distance from previous prime (66434717) and next prime (66434723).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (66434723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17114 + ... + 20633.

It is an arithmetic number, because the mean of its divisors is an integer number (3567186).

Almost surely, 266434720 is an apocalyptic number.

It is an amenable number.

66434720 is an abundant number, since it is smaller than the sum of its proper divisors (104790208).

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

66434720 is a wasteful number, since it uses less digits than its factorization.

66434720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37773 (or 37765 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 66434720 is about 8150.7496587737. The cubic root of 66434720 is about 405.0093377921.

The spelling of 66434720 in words is "sixty-six million, four hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 37747 75494 150988 188735 301976 377470 415217 603952 754940 830434 1207904 1509880 1660868 2076085 3019760 3321736 4152170 6039520 6643472 8304340 13286944 16608680 33217360 66434720