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140204160 = 27325101241
BaseRepresentation
bin10000101101101…
…01100010000000
3100202211002221200
420112311202000
5241343013120
621525021200
73321500325
oct1026654200
9322732850
10140204160
1172161508
123ab54800
132307c255
1414898b4c
15c496e90
hex85b5880

140204160 has 192 divisors, whose sum is σ = 490964760. Its totient is φ = 36864000.

The previous prime is 140204153. The next prime is 140204161. The reversal of 140204160 is 61402041.

It can be written as a sum of positive squares in 4 ways, for example, as 139996224 + 207936 = 11832^2 + 456^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (140204161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581640 + ... + 581880.

Almost surely, 2140204160 is an apocalyptic number.

140204160 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 140204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245482380).

140204160 is an abundant number, since it is smaller than the sum of its proper divisors (350760600).

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

140204160 is a wasteful number, since it uses less digits than its factorization.

140204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 140204160 is about 11840.7837578431. The cubic root of 140204160 is about 519.5016922574.

The spelling of 140204160 in words is "one hundred forty million, two hundred four thousand, one hundred sixty".