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1350986250 = 23543131151
BaseRepresentation
bin101000010000110…
…0110101000001010
310111011010012201210
41100201212220022
510231323030000
6342020153550
745323123265
oct12041465012
93434105653
101350986250
11633661a69
123185388b6
13186b7a263
14cb5d3cdc
157d912350
hex50866a0a

1350986250 has 80 divisors (see below), whose sum is σ = 3390114816. Its totient is φ = 358800000.

The previous prime is 1350986227. The next prime is 1350986261. The reversal of 1350986250 is 526890531.

It is a junction number, because it is equal to n+sod(n) for n = 1350986199 and 1350986208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1173175 + ... + 1174325.

Almost surely, 21350986250 is an apocalyptic number.

1350986250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350986250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695057408).

1350986250 is an abundant number, since it is smaller than the sum of its proper divisors (2039128566).

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

1350986250 is a wasteful number, since it uses less digits than its factorization.

1350986250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 1350986250 is about 36755.7648539654. The cubic root of 1350986250 is about 1105.4785230462.

The spelling of 1350986250 in words is "one billion, three hundred fifty million, nine hundred eighty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 313 375 625 626 750 939 1151 1250 1565 1875 1878 2302 3130 3453 3750 4695 5755 6906 7825 9390 11510 15650 17265 23475 28775 34530 39125 46950 57550 78250 86325 117375 143875 172650 195625 234750 287750 360263 391250 431625 586875 719375 720526 863250 1080789 1173750 1438750 1801315 2158125 2161578 3602630 4316250 5403945 9006575 10807890 18013150 27019725 45032875 54039450 90065750 135098625 225164375 270197250 450328750 675493125 1350986250