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1350545000 = 2354747821
BaseRepresentation
bin101000001111111…
…1010111001101000
310111010021210110012
41100133322321220
510231214420000
6342002511052
745316304660
oct12037727150
93433253405
101350545000
116333904a2
12318365488
13186a5446c
14cb51b1a0
157d876735
hex507fae68

1350545000 has 160 divisors (see below), whose sum is σ = 3697816320. Its totient is φ = 452640000.

The previous prime is 1350544999. The next prime is 1350545003. The reversal of 1350545000 is 5450531.

It is not an unprimeable number, because it can be changed into a prime (1350545003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1644590 + ... + 1645410.

It is an arithmetic number, because the mean of its divisors is an integer number (23111352).

Almost surely, 21350545000 is an apocalyptic number.

1350545000 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 1350545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848908160).

1350545000 is an abundant number, since it is smaller than the sum of its proper divisors (2347271320).

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

1350545000 is an equidigital number, since it uses as much as digits as its factorization.

1350545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 1350545000 is about 36749.7619039906. The cubic root of 1350545000 is about 1105.3581552990.

Adding to 1350545000 its reverse (5450531), we get a palindrome (1355995531).

The spelling of 1350545000 in words is "one billion, three hundred fifty million, five hundred forty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 125 140 175 188 200 235 250 280 329 350 376 470 500 625 658 700 821 875 940 1000 1175 1250 1316 1400 1642 1645 1750 1880 2350 2500 2632 3284 3290 3500 4105 4375 4700 5000 5747 5875 6568 6580 7000 8210 8225 8750 9400 11494 11750 13160 16420 16450 17500 20525 22988 23500 28735 29375 32840 32900 35000 38587 41050 41125 45976 47000 57470 58750 65800 77174 82100 82250 102625 114940 117500 143675 154348 164200 164500 192935 205250 205625 229880 235000 270109 287350 308696 329000 385870 410500 411250 513125 540218 574700 718375 771740 821000 822500 964675 1026250 1080436 1149400 1350545 1436750 1543480 1645000 1929350 2052500 2160872 2701090 2873500 3591875 3858700 4105000 4823375 5402180 5747000 6752725 7183750 7717400 9646750 10804360 13505450 14367500 19293500 24116875 27010900 28735000 33763625 38587000 48233750 54021800 67527250 96467500 135054500 168818125 192935000 270109000 337636250 675272500 1350545000