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139216896 = 2113271383
BaseRepresentation
bin10000100110001…
…00100000000000
3100200221221200100
420103010200000
5241114420041
621451522400
73310216110
oct1023044000
9320857610
10139216896
1171647795
123a759400
1322ac4a80
14146bd040
15c34e6b6
hex84c4800

139216896 has 288 divisors, whose sum is σ = 500834880. Its totient is φ = 36274176.

The previous prime is 139216873. The next prime is 139216919. The reversal of 139216896 is 698612931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (139216873) and next prime (139216919).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (139968) is a multiple of the sum of its prime divisors (108).

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, 1677271 + ... + 1677353.

It is an arithmetic number, because the mean of its divisors is an integer number (1739010).

Almost surely, 2139216896 is an apocalyptic number.

139216896 is a gapful number since it is divisible by the number (16) 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 139216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250417440).

139216896 is an abundant number, since it is smaller than the sum of its proper divisors (361617984).

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

139216896 is a wasteful number, since it uses less digits than its factorization.

139216896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 139216896 is about 11799.0209763353. The cubic root of 139216896 is about 518.2794415583.

The spelling of 139216896 in words is "one hundred thirty-nine million, two hundred sixteen thousand, eight hundred ninety-six".