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664014000 = 24353138513
BaseRepresentation
bin100111100101000…
…000110010110000
31201021110101222010
4213211000302300
52324441422000
6145520042520
722312011606
oct4745006260
91637411863
10664014000
11310900601
12166463440
13a774c8c0
146428b876
153d464d50
hex27940cb0

664014000 has 160 divisors (see below), whose sum is σ = 2305727424. Its totient is φ = 163430400.

The previous prime is 664013989. The next prime is 664014011. The reversal of 664014000 is 410466.

It is an interprime number because it is at equal distance from previous prime (664013989) and next prime (664014011).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73744 + ... + 82256.

Almost surely, 2664014000 is an apocalyptic number.

664014000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152863712).

664014000 is an abundant number, since it is smaller than the sum of its proper divisors (1641713424).

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

664014000 is a wasteful number, since it uses less digits than its factorization.

664014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 664014000 is about 25768.4691047024. The cubic root of 664014000 is about 872.4202656725.

Adding to 664014000 its reverse (410466), we get a palindrome (664424466).

The spelling of 664014000 in words is "six hundred sixty-four million, fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 8513 9750 13000 15600 17026 19500 25539 26000 34052 39000 42565 51078 68104 78000 85130 102156 110669 127695 136208 170260 204312 212825 221338 255390 332007 340520 408624 425650 442676 510780 553345 638475 664014 681040 851300 885352 1021560 1064125 1106690 1276950 1328028 1660035 1702600 1770704 2043120 2128250 2213380 2553900 2656056 2766725 3192375 3320070 3405200 4256500 4426760 5107800 5312112 5533450 6384750 6640140 8300175 8513000 8853520 10215600 11066900 12769500 13280280 13833625 16600350 17026000 22133800 25539000 26560560 27667250 33200700 41500875 44267600 51078000 55334500 66401400 83001750 110669000 132802800 166003500 221338000 332007000 664014000