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139570144 = 257837507
BaseRepresentation
bin10000101000110…
…10101111100000
3100201121220020121
420110122233200
5241212221034
621503250024
73313220020
oct1024325740
9321556217
10139570144
117186912a
123a8a9914
1322bb97ac
1414771a80
15c3be1b4
hex851abe0

139570144 has 48 divisors (see below), whose sum is σ = 317858688. Its totient is φ = 59087232.

The previous prime is 139570139. The next prime is 139570159. The reversal of 139570144 is 441075931.

139570144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14839 + ... + 22345.

It is an arithmetic number, because the mean of its divisors is an integer number (6622056).

Almost surely, 2139570144 is an apocalyptic number.

139570144 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 139570144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158929344).

139570144 is an abundant number, since it is smaller than the sum of its proper divisors (178288544).

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

139570144 is an equidigital number, since it uses as much as digits as its factorization.

139570144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7607 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 139570144 is about 11813.9808701386. The cubic root of 139570144 is about 518.7174308870.

The spelling of 139570144 in words is "one hundred thirty-nine million, five hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 1162 1328 2324 2656 4648 7507 9296 15014 18592 30028 52549 60056 105098 120112 210196 240224 420392 623081 840784 1246162 1681568 2492324 4361567 4984648 8723134 9969296 17446268 19938592 34892536 69785072 139570144