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1306150000 = 2455151173
BaseRepresentation
bin100110111011010…
…0100010001110000
310101000202021221221
41031312210101300
510133333300000
6333335154424
744240043331
oct11566442160
93330667857
101306150000
11610318911
12305515a14
1317a7ac32c
14c5682288
1579a0761a
hex4dda4470

1306150000 has 120 divisors (see below), whose sum is σ = 3202482528. Its totient is φ = 516000000.

The previous prime is 1306149979. The next prime is 1306150007. The reversal of 1306150000 is 516031.

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 (1306150007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7549914 + ... + 7550086.

Almost surely, 21306150000 is an apocalyptic number.

1306150000 is a gapful number since it is divisible by the number (10) 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 1306150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601241264).

1306150000 is an abundant number, since it is smaller than the sum of its proper divisors (1896332528).

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

1306150000 is an equidigital number, since it uses as much as digits as its factorization.

1306150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1306150000 is about 36140.6972815965. The cubic root of 1306150000 is about 1093.1112188430. Note that the first 3 decimals are identical.

Adding to 1306150000 its reverse (516031), we get a palindrome (1306666031).

The spelling of 1306150000 in words is "one billion, three hundred six million, one hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 151 173 200 250 302 346 400 500 604 625 692 755 865 1000 1208 1250 1384 1510 1730 2000 2416 2500 2768 3020 3125 3460 3775 4325 5000 6040 6250 6920 7550 8650 10000 12080 12500 13840 15100 17300 18875 21625 25000 26123 30200 34600 37750 43250 50000 52246 60400 69200 75500 86500 94375 104492 108125 130615 151000 173000 188750 208984 216250 261230 302000 346000 377500 417968 432500 471875 522460 540625 653075 755000 865000 943750 1044920 1081250 1306150 1510000 1730000 1887500 2089840 2162500 2612300 3265375 3775000 4325000 5224600 6530750 7550000 8650000 10449200 13061500 16326875 26123000 32653750 52246000 65307500 81634375 130615000 163268750 261230000 326537500 653075000 1306150000