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66214008 = 23327791663
BaseRepresentation
bin1111110010010…
…1100001111000
311121121000112200
43330211201320
5113422322013
610323110200
71432544520
oct374454170
9147530480
1066214008
1134415623
121a212360
13109444b3
148b18680
155c2de73
hex3f25878

66214008 has 96 divisors (see below), whose sum is σ = 207667200. Its totient is φ = 18667584.

The previous prime is 66214007. The next prime is 66214021. The reversal of 66214008 is 80041266.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66214003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38985 + ... + 40647.

It is an arithmetic number, because the mean of its divisors is an integer number (2163200).

Almost surely, 266214008 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 66214008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103833600).

66214008 is an abundant number, since it is smaller than the sum of its proper divisors (141453192).

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

66214008 is a wasteful number, since it uses less digits than its factorization.

66214008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 66214008 is about 8137.1990266922. The cubic root of 66214008 is about 404.5603276150.

The spelling of 66214008 in words is "sixty-six million, two hundred fourteen thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1106 1422 1659 1663 1896 2212 2844 3318 3326 4424 4977 4989 5688 6636 6652 9954 9978 11641 13272 13304 14967 19908 19956 23282 29934 34923 39816 39912 46564 59868 69846 93128 104769 119736 131377 139692 209538 262754 279384 394131 419076 525508 788262 838152 919639 1051016 1182393 1576524 1839278 2364786 2758917 3153048 3678556 4729572 5517834 7357112 8276751 9459144 11035668 16553502 22071336 33107004 66214008