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139353984 = 27327111571
BaseRepresentation
bin10000100111001…
…01111110000000
3100201012220201200
420103211332000
5241133311414
621454501200
73311326560
oct1023457600
9321186650
10139353984
1171730790
123a804800
1322b422a3
1414716da0
15c37a109
hex84e5f80

139353984 has 192 divisors, whose sum is σ = 500273280. Its totient is φ = 36172800.

The previous prime is 139353971. The next prime is 139353997. The reversal of 139353984 is 489353931.

139353984 is a `hidden beast` number, since 1 + 39 + 3 + 539 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (139353971) and next prime (139353997).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87919 + ... + 89489.

It is an arithmetic number, because the mean of its divisors is an integer number (2605590).

Almost surely, 2139353984 is an apocalyptic number.

139353984 is a gapful number since it is divisible by the number (14) 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 139353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250136640).

139353984 is an abundant number, since it is smaller than the sum of its proper divisors (360919296).

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

139353984 is a wasteful number, since it uses less digits than its factorization.

139353984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1594 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 139353984 is about 11804.8288424695. The cubic root of 139353984 is about 518.4495037317.

The spelling of 139353984 in words is "one hundred thirty-nine million, three hundred fifty-three thousand, nine hundred eighty-four".