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1350130614 = 237219212721
BaseRepresentation
bin101000001111001…
…0101101110110110
310111002111202000120
41100132111232312
510231113134424
6341545552410
745312630600
oct12036255666
93432452016
101350130614
11633128128
123181a5706
1318693a971
14cb450170
157d7e3a79
hex50795bb6

1350130614 has 72 divisors (see below), whose sum is σ = 3315404088. Its totient is φ = 365420160.

The previous prime is 1350130609. The next prime is 1350130627. The reversal of 1350130614 is 4160310531.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 99774 + ... + 112494.

It is an arithmetic number, because the mean of its divisors is an integer number (46047279).

Almost surely, 21350130614 is an apocalyptic number.

1350130614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350130614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657702044).

1350130614 is an abundant number, since it is smaller than the sum of its proper divisors (1965273474).

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

1350130614 is a wasteful number, since it uses less digits than its factorization.

1350130614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12778 (or 12752 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1350130614 is about 36744.1235301647. The cubic root of 1350130614 is about 1105.2450918568.

The spelling of 1350130614 in words is "one billion, three hundred fifty million, one hundred thirty thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 361 399 722 798 931 1083 1862 2166 2527 2793 5054 5586 7581 12721 15162 17689 25442 35378 38163 53067 76326 89047 106134 178094 241699 267141 483398 534282 623329 725097 1246658 1450194 1691893 1869987 3383786 3739974 4592281 5075679 9184562 10151358 11843251 13776843 23686502 27553686 32145967 35529753 64291934 71059506 96437901 192875802 225021769 450043538 675065307 1350130614