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3000232120 = 235294360149
BaseRepresentation
bin1011001011010011…
…1110100010111000
321202002110120202011
42302310332202320
522121024411440
61213413215304
7134230360264
oct26264764270
97662416664
103000232120
1112aa609886
126b8931534
1338a7660a2
142066670a4
151285dc9ea
hexb2d3e8b8

3000232120 has 64 divisors (see below), whose sum is σ = 7145820000. Its totient is φ = 1131744768.

The previous prime is 3000232117. The next prime is 3000232127. The reversal of 3000232120 is 212320003.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3000232120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000232127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19806 + ... + 79954.

Almost surely, 23000232120 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 3000232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572910000).

3000232120 is an abundant number, since it is smaller than the sum of its proper divisors (4145587880).

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

3000232120 is a wasteful number, since it uses less digits than its factorization.

3000232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60232 (or 60228 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3000232120 is about 54774.3746655313. The cubic root of 3000232120 is about 1442.2867665670.

Adding to 3000232120 its reverse (212320003), we get a palindrome (3212552123).

The spelling of 3000232120 in words is "three billion, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 43 58 86 116 145 172 215 232 290 344 430 580 860 1160 1247 1720 2494 4988 6235 9976 12470 24940 49880 60149 120298 240596 300745 481192 601490 1202980 1744321 2405960 2586407 3488642 5172814 6977284 8721605 10345628 12932035 13954568 17443210 20691256 25864070 34886420 51728140 69772840 75005803 103456280 150011606 300023212 375029015 600046424 750058030 1500116060 3000232120