Search a number
-
+
6006062000 = 24533781163
BaseRepresentation
bin1011001011111110…
…10011101110110000
3120111120110120011202
411211333103232300
544300022441000
62431550430332
7301556453561
oct54577235660
916446416152
106006062000
1126022a1304
1211b75023a8
1374940c053
1440d94a168
15252433dd5
hex165fd3bb0

6006062000 has 80 divisors (see below), whose sum is σ = 14915345952. Its totient is φ = 2337465600.

The previous prime is 6006061993. The next prime is 6006062011. The reversal of 6006062000 is 2606006.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 33419 + ... + 114581.

Almost surely, 26006062000 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 6006062000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7457672976).

6006062000 is an abundant number, since it is smaller than the sum of its proper divisors (8909283952).

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

6006062000 is a wasteful number, since it uses less digits than its factorization.

6006062000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81223 (or 81207 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 6006062000 is about 77498.7870872829. The cubic root of 6006062000 is about 1817.7323526865.

Adding to 6006062000 its reverse (2606006), we get a palindrome (6008668006).

The spelling of 6006062000 in words is "six billion, six million, sixty-two thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 18500 37000 74000 81163 162326 324652 405815 649304 811630 1298608 1623260 2029075 3003031 3246520 4058150 6006062 6493040 8116300 10145375 12012124 15015155 16232600 20290750 24024248 30030310 32465200 40581500 48048496 60060620 75075775 81163000 120121240 150151550 162326000 240242480 300303100 375378875 600606200 750757750 1201212400 1501515500 3003031000 6006062000