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1350390000 = 2435445013
BaseRepresentation
bin101000001111101…
…0101000011110000
310111002222220211110
41100133111003300
510231144440000
6341555313320
745315061041
oct12037250360
93432886743
101350390000
11633294aa3
123182ab840
131869cba4b
14cb4ba8c8
157d845850
hex507d50f0

1350390000 has 100 divisors (see below), whose sum is σ = 4359335816. Its totient is φ = 360096000.

The previous prime is 1350389941. The next prime is 1350390011. The reversal of 1350390000 is 930531.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7494 + ... + 52506.

Almost surely, 21350390000 is an apocalyptic number.

1350390000 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 1350390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179667908).

1350390000 is an abundant number, since it is smaller than the sum of its proper divisors (3008945816).

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

1350390000 is an equidigital number, since it uses as much as digits as its factorization.

1350390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45044 (or 45023 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 1350390000 is about 36747.6529862793. The cubic root of 1350390000 is about 1105.3158669218.

The spelling of 1350390000 in words is "one billion, three hundred fifty million, three hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 45013 90026 135039 180052 225065 270078 360104 450130 540156 675195 720208 900260 1080312 1125325 1350390 1800520 2160624 2250650 2700780 3375975 3601040 4501300 5401560 5626625 6751950 9002600 10803120 11253250 13503900 16879875 18005200 22506500 27007800 28133125 33759750 45013000 54015600 56266250 67519500 84399375 90026000 112532500 135039000 168798750 225065000 270078000 337597500 450130000 675195000 1350390000