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66031440 = 2435275131
BaseRepresentation
bin1111101111100…
…0111101010000
311121020202002220
43323320331100
5113401001230
610315141040
71431154326
oct373707520
9147222086
1066031440
1134300442
121a144780
13108ac377
148aabd16
155be4d10
hex3ef8f50

66031440 has 40 divisors (see below), whose sum is σ = 204698208. Its totient is φ = 17608320.

The previous prime is 66031429. The next prime is 66031447. The reversal of 66031440 is 4413066.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 66031440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66031447) 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, 137326 + ... + 137805.

Almost surely, 266031440 is an apocalyptic number.

66031440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66031440 is an abundant number, since it is smaller than the sum of its proper divisors (138666768).

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

66031440 is a wasteful number, since it uses less digits than its factorization.

66031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275147 (or 275141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 66031440 is about 8125.9731724883. The cubic root of 66031440 is about 404.1881618686.

The spelling of 66031440 in words is "sixty-six million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 275131 550262 825393 1100524 1375655 1650786 2201048 2751310 3301572 4126965 4402096 5502620 6603144 8253930 11005240 13206288 16507860 22010480 33015720 66031440