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906140928 = 28372112199
BaseRepresentation
bin110110000000101…
…001110100000000
32100011001201200010
4312000221310000
53323433002203
6225525424520
731312033200
oct6600516400
92304051603
10906140928
11425547100
1221356b140
13115966884
14884b8400
1554841303
hex36029d00

906140928 has 324 divisors, whose sum is σ = 3099112800. Its totient is φ = 234178560.

The previous prime is 906140927. The next prime is 906140929. The reversal of 906140928 is 829041609.

It is an interprime number because it is at equal distance from previous prime (906140927) and next prime (906140929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906140927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4553373 + ... + 4553571.

Almost surely, 2906140928 is an apocalyptic number.

906140928 is a gapful number since it is divisible by the number (98) 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 906140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549556400).

906140928 is an abundant number, since it is smaller than the sum of its proper divisors (2192971872).

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

906140928 is a wasteful number, since it uses less digits than its factorization.

906140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 906140928 is about 30102.1748051532. The cubic root of 906140928 is about 967.6803352194.

The spelling of 906140928 in words is "nine hundred six million, one hundred forty thousand, nine hundred twenty-eight".