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3128200000 = 265515641
BaseRepresentation
bin1011101001110100…
…1000101101000000
322002000021000200021
42322131020231000
522401304400000
61234224103224
7140343155422
oct27235105500
98060230607
103128200000
111365872a62
12733764b14
133ab11c923
14219658812
1513496911a
hexba748b40

3128200000 has 84 divisors (see below), whose sum is σ = 7759401804. Its totient is φ = 1251200000.

The previous prime is 3128199979. The next prime is 3128200007. The reversal of 3128200000 is 28213.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1545433344 + 1582766656 = 39312^2 + 39784^2 .

It is a sliding number, since 3128200000 = 3200000 + 3125000000 and 1/3200000 + 1/3125000000 = 0.0000003128200000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128200007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192180 + ... + 207820.

It is an arithmetic number, because the mean of its divisors is an integer number (92373831).

Almost surely, 23128200000 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 3128200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879700902).

3128200000 is an abundant number, since it is smaller than the sum of its proper divisors (4631201804).

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

3128200000 is an frugal number, since it uses more digits than its factorization.

3128200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15678 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3128200000 is about 55930.3137842083. The cubic root of 3128200000 is about 1462.5077312275.

Adding to 3128200000 its reverse (28213), we get a palindrome (3128228213).

The spelling of 3128200000 in words is "three billion, one hundred twenty-eight million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15641 20000 25000 31282 40000 50000 62564 78205 100000 125128 156410 200000 250256 312820 391025 500512 625640 782050 1001024 1251280 1564100 1955125 2502560 3128200 3910250 5005120 6256400 7820500 9775625 12512800 15641000 19551250 25025600 31282000 39102500 48878125 62564000 78205000 97756250 125128000 156410000 195512500 312820000 391025000 625640000 782050000 1564100000 3128200000