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66007000 = 2353149443
BaseRepresentation
bin1111101111001…
…0111111011000
311121012111120201
43323302333120
5113344211000
610314431544
71431023143
oct373627730
9147174521
1066007000
1134294044
121a1325b4
13108a11c7
148aa305a
155bdc96a
hex3ef2fd8

66007000 has 64 divisors (see below), whose sum is σ = 155844000. Its totient is φ = 26166400.

The previous prime is 66006989. The next prime is 66007031. The reversal of 66007000 is 70066.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148779 + ... + 149221.

Almost surely, 266007000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77922000).

66007000 is an abundant number, since it is smaller than the sum of its proper divisors (89837000).

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

66007000 is a wasteful number, since it uses less digits than its factorization.

66007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 66007000 is about 8124.4692134317. The cubic root of 66007000 is about 404.1382887693.

Adding to 66007000 its reverse (70066), we get a palindrome (66077066).

It can be divided in two parts, 6 and 6007000, that added together give a palindrome (6007006).

The spelling of 66007000 in words is "sixty-six million, seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 443 500 596 745 886 1000 1192 1490 1772 2215 2980 3544 3725 4430 5960 7450 8860 11075 14900 17720 18625 22150 29800 37250 44300 55375 66007 74500 88600 110750 132014 149000 221500 264028 330035 443000 528056 660070 1320140 1650175 2640280 3300350 6600700 8250875 13201400 16501750 33003500 66007000