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142768164 = 223721122073
BaseRepresentation
bin10001000001001…
…11100000100100
3100221122101002210
420200213200210
5243022040124
622100003420
73352336500
oct1040474044
9327571083
10142768164
1173652920
123b990570
1323769306
1414d65300
15c801a29
hex8827824

142768164 has 72 divisors (see below), whose sum is σ = 422761248. Its totient is φ = 37080960.

The previous prime is 142768103. The next prime is 142768169. The reversal of 142768164 is 461867241.

142768164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142768169) 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, 4569 + ... + 17504.

It is an arithmetic number, because the mean of its divisors is an integer number (5871684).

Almost surely, 2142768164 is an apocalyptic number.

142768164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142768164 is an abundant number, since it is smaller than the sum of its proper divisors (279993084).

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

142768164 is a wasteful number, since it uses less digits than its factorization.

142768164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22105 (or 22096 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 142768164 is about 11948.5632609113. The cubic root of 142768164 is about 522.6494024201.

The spelling of 142768164 in words is "one hundred forty-two million, seven hundred sixty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 22073 44146 66219 88292 132438 154511 242803 264876 309022 463533 485606 618044 728409 927066 971212 1081577 1456818 1699621 1854132 2163154 2913636 3244731 3399242 4326308 5098863 6489462 6798484 10197726 11897347 12978924 20395452 23794694 35692041 47589388 71384082 142768164