Search a number
-
+
1906093280 = 2557133141103
BaseRepresentation
bin111000110011100…
…1010110011100000
311220211122120102102
41301213022303200
512400424441110
6513050105532
765143345160
oct16147126340
94824576372
101906093280
11898a38103
1245241b2a8
13244b88160
141412125a0
15b25135a5
hex719cace0

1906093280 has 384 divisors, whose sum is σ = 5917556736. Its totient is φ = 564019200.

The previous prime is 1906093271. The next prime is 1906093297. The reversal of 1906093280 is 823906091.

It is a super-2 number, since 2×19060932802 = 7266383184122316800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18505709 + ... + 18505811.

It is an arithmetic number, because the mean of its divisors is an integer number (15410304).

Almost surely, 21906093280 is an apocalyptic number.

1906093280 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 1906093280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958778368).

1906093280 is an abundant number, since it is smaller than the sum of its proper divisors (4011463456).

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

1906093280 is a wasteful number, since it uses less digits than its factorization.

1906093280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 1906093280 is about 43658.8282023235. The cubic root of 1906093280 is about 1239.8849355596.

The spelling of 1906093280 in words is "one billion, nine hundred six million, ninety-three thousand, two hundred eighty".