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139285440 = 263357347
BaseRepresentation
bin10000100110101…
…01001111000000
3100201002102201000
420103111033000
5241124113230
621453212000
73310623000
oct1023251700
9321072630
10139285440
1171694238
123a791000
1322b1a028
14146da000
15c364b60
hex84d53c0

139285440 has 448 divisors, whose sum is σ = 585216000. Its totient is φ = 31159296.

The previous prime is 139285439. The next prime is 139285441. The reversal of 139285440 is 44582931.

139285440 is a `hidden beast` number, since 139 + 2 + 85 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (139285439) and next prime (139285441).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 139285395 and 139285404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139285441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2963497 + ... + 2963543.

Almost surely, 2139285440 is an apocalyptic number.

139285440 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 139285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292608000).

139285440 is an abundant number, since it is smaller than the sum of its proper divisors (445930560).

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

139285440 is an equidigital number, since it uses as much as digits as its factorization.

139285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 139285440 is about 11801.9252666673. The cubic root of 139285440 is about 518.3644865932.

The spelling of 139285440 in words is "one hundred thirty-nine million, two hundred eighty-five thousand, four hundred forty".