Search a number
-
+
1350134300 = 2252191036899
BaseRepresentation
bin101000001111001…
…0110101000011100
310111002111221002002
41100132112220130
510231113244200
6341550021432
745312644414
oct12036265034
93432457062
101350134300
1163312a979
123181a7878
1318693c548
14cb451644
157d7e4bd5
hex50796a1c

1350134300 has 72 divisors (see below), whose sum is σ = 3114384000. Its totient is φ = 506589120.

The previous prime is 1350134263. The next prime is 1350134309. The reversal of 1350134300 is 34310531.

It is a happy number.

1350134300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350134309) 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, 192251 + ... + 199149.

Almost surely, 21350134300 is an apocalyptic number.

1350134300 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 1350134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557192000).

1350134300 is an abundant number, since it is smaller than the sum of its proper divisors (1764249700).

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

1350134300 is a wasteful number, since it uses less digits than its factorization.

1350134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7035 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1350134300 is about 36744.1736878107. The cubic root of 1350134300 is about 1105.2460976680.

Adding to 1350134300 its reverse (34310531), we get a palindrome (1384444831).

The spelling of 1350134300 in words is "one billion, three hundred fifty million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 103 190 206 380 412 475 515 950 1030 1900 1957 2060 2575 3914 5150 6899 7828 9785 10300 13798 19570 27596 34495 39140 48925 68990 97850 131081 137980 172475 195700 262162 344950 524324 655405 689900 710597 1310810 1421194 2621620 2842388 3277025 3552985 6554050 7105970 13108100 13501343 14211940 17764925 27002686 35529850 54005372 67506715 71059700 135013430 270026860 337533575 675067150 1350134300