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64143000 = 2332537127
BaseRepresentation
bin1111010010101…
…1111010011000
311110200210122200
43310223322120
5112410034000
610210450200
71406130555
oct364537230
9143623580
1064143000
1133230649
1219593960
131039a94c
148739a2c
155970500
hex3d2be98

64143000 has 96 divisors (see below), whose sum is σ = 216833760. Its totient is φ = 17102400.

The previous prime is 64142987. The next prime is 64143011. The reversal of 64143000 is 34146.

It is a super-2 number, since 2×641430002 = 8228648898000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5437 + ... + 12563.

It is an arithmetic number, because the mean of its divisors is an integer number (2258685).

Almost surely, 264143000 is an apocalyptic number.

64143000 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 64143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108416880).

64143000 is an abundant number, since it is smaller than the sum of its proper divisors (152690760).

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

64143000 is a wasteful number, since it uses less digits than its factorization.

64143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 64143000 is about 8008.9325131381. The cubic root of 64143000 is about 400.2976950558.

Adding to 64143000 its reverse (34146), we get a palindrome (64177146).

The spelling of 64143000 in words is "sixty-four million, one hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 7127 9000 14254 21381 28508 35635 42762 57016 64143 71270 85524 106905 128286 142540 171048 178175 213810 256572 285080 320715 356350 427620 513144 534525 641430 712700 855240 890875 1069050 1282860 1425400 1603575 1781750 2138100 2565720 2672625 3207150 3563500 4276200 5345250 6414300 7127000 8017875 10690500 12828600 16035750 21381000 32071500 64143000