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140166000 = 24325313599
BaseRepresentation
bin10000101101011…
…00001101110000
3100202202011121100
420112230031300
5241340303000
621524124400
73321251142
oct1026541560
9322664540
10140166000
1172135877
123ab36700
1323067a80
1414888c92
15c48aa00
hex85ac370

140166000 has 240 divisors, whose sum is σ = 528091200. Its totient is φ = 34444800.

The previous prime is 140165959. The next prime is 140166007. The reversal of 140166000 is 661041.

140166000 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 660 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140166007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233701 + ... + 234299.

It is an arithmetic number, because the mean of its divisors is an integer number (2200380).

Almost surely, 2140166000 is an apocalyptic number.

140166000 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 140166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264045600).

140166000 is an abundant number, since it is smaller than the sum of its proper divisors (387925200).

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

140166000 is a wasteful number, since it uses less digits than its factorization.

140166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 140166000 is about 11839.1722683640. The cubic root of 140166000 is about 519.4545562727.

The spelling of 140166000 in words is "one hundred forty million, one hundred sixty-six thousand".