Search a number
-
+
2032143000 = 233533121851
BaseRepresentation
bin111100100100000…
…0000101010011000
312020121211120010120
41321020000222120
513130212034000
6533351513240
7101233634106
oct17110005230
95217746116
102032143000
11953101128
12488688820
1326501c8a4
14153c64c76
15bd6116a0
hex79200a98

2032143000 has 128 divisors (see below), whose sum is σ = 6545111040. Its totient is φ = 524400000.

The previous prime is 2032142993. The next prime is 2032143011. The reversal of 2032143000 is 3412302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82075 + ... + 103925.

It is an arithmetic number, because the mean of its divisors is an integer number (51133680).

Almost surely, 22032143000 is an apocalyptic number.

2032143000 is a gapful number since it is divisible by the number (20) 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 2032143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272555520).

2032143000 is an abundant number, since it is smaller than the sum of its proper divisors (4512968040).

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

2032143000 is a wasteful number, since it uses less digits than its factorization.

2032143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21906 (or 21892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2032143000 is about 45079.2968001942. The cubic root of 2032143000 is about 1266.6348176049.

Adding to 2032143000 its reverse (3412302), we get a palindrome (2035555302).

The spelling of 2032143000 in words is "two billion, thirty-two million, one hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 21851 23250 31000 43702 46500 65553 87404 93000 109255 131106 174808 218510 262212 327765 437020 524424 546275 655530 677381 874040 1092550 1311060 1354762 1638825 2032143 2185100 2622120 2709524 2731375 3277650 3386905 4064286 4370200 5419048 5462750 6555300 6773810 8128572 8194125 10160715 10925500 13110600 13547620 16257144 16388250 16934525 20321430 21851000 27095240 32776500 33869050 40642860 50803575 65553000 67738100 81285720 84672625 101607150 135476200 169345250 203214300 254017875 338690500 406428600 508035750 677381000 1016071500 2032143000