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1906606080 = 215335431
BaseRepresentation
bin111000110100100…
…1000000000000000
311220212121121212000
41301221020000000
512401042343310
6513105104000
765150612211
oct16151100000
94825547760
101906606080
11899258405
12452628000
132450076a2
14141307408
15b25b54c0
hex71a48000

1906606080 has 256 divisors, whose sum is σ = 6794668800. Its totient is φ = 507248640.

The previous prime is 1906606027. The next prime is 1906606087. The reversal of 1906606080 is 806066091.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1906606087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423465 + ... + 4423895.

It is an arithmetic number, because the mean of its divisors is an integer number (26541675).

Almost surely, 21906606080 is an apocalyptic number.

1906606080 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 1906606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397334400).

1906606080 is an abundant number, since it is smaller than the sum of its proper divisors (4888062720).

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

1906606080 is an frugal number, since it uses more digits than its factorization.

1906606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1906606080 is about 43664.7006173179. The cubic root of 1906606080 is about 1239.9961151457.

The spelling of 1906606080 in words is "one billion, nine hundred six million, six hundred six thousand, eighty".