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5706338000 = 245311259379
BaseRepresentation
bin1010101000001111…
…11100111011010000
3112201200111000010212
411110013330323100
543141310304000
62342122343252
7261260033636
oct52407747320
915650430125
105706338000
112469096220
12113305ab28
136cc2a9a7c
143c1c09356
15235e7bc35
hex1541fced0

5706338000 has 80 divisors (see below), whose sum is σ = 15052340160. Its totient is φ = 2075024000.

The previous prime is 5706337999. The next prime is 5706338003. The reversal of 5706338000 is 8336075.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5706338003) 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 15 ways as a sum of consecutive naturals, for example, 107690 + ... + 151689.

It is an arithmetic number, because the mean of its divisors is an integer number (188154252).

Almost surely, 25706338000 is an apocalyptic number.

5706338000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5706338000 is an abundant number, since it is smaller than the sum of its proper divisors (9346002160).

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

5706338000 is a wasteful number, since it uses less digits than its factorization.

5706338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259413 (or 259397 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 5706338000 is about 75540.3071214302. The cubic root of 5706338000 is about 1786.9778284694.

The spelling of 5706338000 in words is "five billion, seven hundred six million, three hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 259379 518758 1037516 1296895 2075032 2593790 2853169 4150064 5187580 5706338 6484475 10375160 11412676 12968950 14265845 20750320 22825352 25937900 28531690 32422375 45650704 51875800 57063380 64844750 71329225 103751600 114126760 129689500 142658450 228253520 259379000 285316900 356646125 518758000 570633800 713292250 1141267600 1426584500 2853169000 5706338000