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1906298880 = 21235192371
BaseRepresentation
bin111000110011111…
…1101000000000000
311220212001000110020
41301213331000000
512401003031010
6513054333440
765145162453
oct16147750000
94825030406
101906298880
11899068622
124524ba280
13244c2a905
1414126749a
15b2554470
hex719fd000

1906298880 has 416 divisors, whose sum is σ = 6793943040. Its totient is φ = 454164480.

The previous prime is 1906298879. The next prime is 1906298881. The reversal of 1906298880 is 888926091.

It is an interprime number because it is at equal distance from previous prime (1906298879) and next prime (1906298881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1906298881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26849245 + ... + 26849315.

Almost surely, 21906298880 is an apocalyptic number.

1906298880 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 1906298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396971520).

1906298880 is an abundant number, since it is smaller than the sum of its proper divisors (4887644160).

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

1906298880 is a wasteful number, since it uses less digits than its factorization.

1906298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The square root of 1906298880 is about 43661.1827599757. The cubic root of 1906298880 is about 1239.9295138567.

The spelling of 1906298880 in words is "one billion, nine hundred six million, two hundred ninety-eight thousand, eight hundred eighty".