[go: up one dir, main page]

Search a number
-
+
138085800 = 23352230143
BaseRepresentation
bin10000011101100…
…00010110101000
3100121211111002220
420032300112220
5240322221200
621411354040
73264465336
oct1016602650
9317744086
10138085800
1170a449a6
123a2b2920
13227b9c98
14144a6b56
15c1c94a0
hex83b05a8

138085800 has 48 divisors (see below), whose sum is σ = 428067840. Its totient is φ = 36822720.

The previous prime is 138085799. The next prime is 138085853. The reversal of 138085800 is 8580831.

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 11 ways as a sum of consecutive naturals, for example, 114472 + ... + 115671.

It is an arithmetic number, because the mean of its divisors is an integer number (8918080).

Almost surely, 2138085800 is an apocalyptic number.

138085800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138085800 is an abundant number, since it is smaller than the sum of its proper divisors (289982040).

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

138085800 is a wasteful number, since it uses less digits than its factorization.

138085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230162 (or 230153 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 138085800 is about 11750.9914475333. The cubic root of 138085800 is about 516.8720007068.

The spelling of 138085800 in words is "one hundred thirty-eight million, eighty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 230143 460286 690429 920572 1150715 1380858 1841144 2301430 2761716 3452145 4602860 5523432 5753575 6904290 9205720 11507150 13808580 17260725 23014300 27617160 34521450 46028600 69042900 138085800