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139842000 = 24325317457
BaseRepresentation
bin10000101010111…
…01000111010000
3100202010201011100
420111131013100
5241244421000
621513144400
73315431424
oct1025350720
9322121140
10139842000
1171a34401
123a9bb100
1322c8345c
1414802b84
15c424a00
hex855d1d0

139842000 has 240 divisors, whose sum is σ = 518283792. Its totient is φ = 35020800.

The previous prime is 139841993. The next prime is 139842019. The reversal of 139842000 is 248931.

It can be written as a sum of positive squares in 8 ways, for example, as 8785296 + 131056704 = 2964^2 + 11448^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305772 + ... + 306228.

Almost surely, 2139842000 is an apocalyptic number.

139842000 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 139842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259141896).

139842000 is an abundant number, since it is smaller than the sum of its proper divisors (378441792).

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

139842000 is a wasteful number, since it uses less digits than its factorization.

139842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 139842000 is about 11825.4809627347. The cubic root of 139842000 is about 519.0539999723.

The spelling of 139842000 in words is "one hundred thirty-nine million, eight hundred forty-two thousand".