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140172192 = 25321812689
BaseRepresentation
bin10000101101011…
…01101110100000
3100202202111002200
420112231232200
5241341002232
621524213200
73321305166
oct1026555640
9322674080
10140172192
117213a496
123ab3a200
132306a834
141488b236
15c48c77c
hex85adba0

140172192 has 72 divisors (see below), whose sum is σ = 400966020. Its totient is φ = 46448640.

The previous prime is 140172181. The next prime is 140172199. The reversal of 140172192 is 291271041.

140172192 is a `hidden beast` number, since 1 + 401 + 72 + 192 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90554256 + 49617936 = 9516^2 + 7044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (140172199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50784 + ... + 53472.

Almost surely, 2140172192 is an apocalyptic number.

140172192 is a gapful number since it is divisible by the number (12) 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 140172192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200483010).

140172192 is an abundant number, since it is smaller than the sum of its proper divisors (260793828).

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

140172192 is a wasteful number, since it uses less digits than its factorization.

140172192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 140172192 is about 11839.4337702443. The cubic root of 140172192 is about 519.4622053347.

The spelling of 140172192 in words is "one hundred forty million, one hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 181 288 362 543 724 1086 1448 1629 2172 2689 2896 3258 4344 5378 5792 6516 8067 8688 10756 13032 16134 17376 21512 24201 26064 32268 43024 48402 52128 64536 86048 96804 129072 193608 258144 387216 486709 774432 973418 1460127 1946836 2920254 3893672 4380381 5840508 7787344 8760762 11681016 15574688 17521524 23362032 35043048 46724064 70086096 140172192