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142169040 = 24335136183
BaseRepresentation
bin10000111100101…
…01001111010000
3100220111221021000
420132111033100
5242343402130
622035102000
73344262666
oct1036251720
9326457230
10142169040
1173283782
123b741900
13235b96c0
1414c4ac36
15c734260
hex87953d0

142169040 has 320 divisors, whose sum is σ = 542465280. Its totient is φ = 34007040.

The previous prime is 142169009. The next prime is 142169063. The reversal of 142169040 is 40961241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142168995 and 142169013.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1712839 + ... + 1712921.

It is an arithmetic number, because the mean of its divisors is an integer number (1695204).

Almost surely, 2142169040 is an apocalyptic number.

142169040 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 142169040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271232640).

142169040 is an abundant number, since it is smaller than the sum of its proper divisors (400296240).

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

142169040 is a wasteful number, since it uses less digits than its factorization.

142169040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

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

The square root of 142169040 is about 11923.4659390632. The cubic root of 142169040 is about 521.9172811191.

The spelling of 142169040 in words is "one hundred forty-two million, one hundred sixty-nine thousand, forty".