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66620640 = 2535138793
BaseRepresentation
bin1111111000100…
…0110011100000
311122100200100010
43332020303200
5114023330030
610335524520
71436160162
oct376106340
9148320303
1066620640
1134673089
121a389740
1310a575c8
148bc2932
155cae6b0
hex3f88ce0

66620640 has 48 divisors (see below), whose sum is σ = 209856528. Its totient is φ = 17765376.

The previous prime is 66620633. The next prime is 66620647. The reversal of 66620640 is 4602666.

66620640 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 (66620633) and next prime (66620647).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66620598 and 66620607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66620647) 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 7 ways as a sum of consecutive naturals, for example, 68917 + ... + 69876.

It is an arithmetic number, because the mean of its divisors is an integer number (4372011).

Almost surely, 266620640 is an apocalyptic number.

66620640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66620640 is an abundant number, since it is smaller than the sum of its proper divisors (143235888).

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

66620640 is a wasteful number, since it uses less digits than its factorization.

66620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138811 (or 138803 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 66620640 is about 8162.1467764308. The cubic root of 66620640 is about 405.3867970606.

The spelling of 66620640 in words is "sixty-six million, six hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 138793 277586 416379 555172 693965 832758 1110344 1387930 1665516 2081895 2220688 2775860 3331032 4163790 4441376 5551720 6662064 8327580 11103440 13324128 16655160 22206880 33310320 66620640