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142240164 = 223112115107
BaseRepresentation
bin10000111101001…
…10100110100100
3100220122112211020
420132212212210
5242403141124
622040411140
73345010233
oct1036464644
9326575736
10142240164
1173322160
123b776ab0
1323612ba1
1414c68b1a
15c74a379
hex87a69a4

142240164 has 48 divisors (see below), whose sum is σ = 363853056. Its totient is φ = 42890400.

The previous prime is 142240141. The next prime is 142240169. The reversal of 142240164 is 461042241.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (142240169) 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 15 ways as a sum of consecutive naturals, for example, 25299 + ... + 30405.

It is an arithmetic number, because the mean of its divisors is an integer number (7580272).

Almost surely, 2142240164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142240164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181926528).

142240164 is an abundant number, since it is smaller than the sum of its proper divisors (221612892).

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

142240164 is a wasteful number, since it uses less digits than its factorization.

142240164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 142240164 is about 11926.4480881778. The cubic root of 142240164 is about 522.0043011345.

The spelling of 142240164 in words is "one hundred forty-two million, two hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 211 422 633 844 1266 2321 2532 4642 5107 6963 9284 10214 13926 15321 20428 27852 30642 56177 61284 112354 168531 224708 337062 674124 1077577 2155154 3232731 4310308 6465462 11853347 12930924 23706694 35560041 47413388 71120082 142240164