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9006042300 = 2235248761643
BaseRepresentation
bin10000110001100110…
…10100110010111100
3212020122110100111020
420120303110302330
5121421021323200
64045354424140
7436115045043
oct103063246274
925218410436
109006042300
113901748972
1218b4132050
13b06ab7618
1461614955a
1537a9c1ea0
hex218cd4cbc

9006042300 has 72 divisors (see below), whose sum is σ = 26111412096. Its totient is φ = 2396640960.

The previous prime is 9006042289. The next prime is 9006042323. The reversal of 9006042300 is 32406009.

It is a super-2 number, since 2×90060423002 (a number of 21 digits) contains 22 as substring.

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, 115279 + ... + 176921.

Almost surely, 29006042300 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 9006042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13055706048).

9006042300 is an abundant number, since it is smaller than the sum of its proper divisors (17105369796).

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

9006042300 is a wasteful number, since it uses less digits than its factorization.

9006042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62147 (or 62140 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 9006042300 is about 94900.1701789833. The cubic root of 9006042300 is about 2080.5492185646.

Adding to 9006042300 its reverse (32406009), we get a palindrome (9038448309).

The spelling of 9006042300 in words is "nine billion, six million, forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 487 974 1461 1948 2435 2922 4870 5844 7305 9740 12175 14610 24350 29220 36525 48700 61643 73050 123286 146100 184929 246572 308215 369858 616430 739716 924645 1232860 1541075 1849290 3082150 3698580 4623225 6164300 9246450 18492900 30020141 60040282 90060423 120080564 150100705 180120846 300201410 360241692 450302115 600402820 750503525 900604230 1501007050 1801208460 2251510575 3002014100 4503021150 9006042300