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142666048 = 26736797
BaseRepresentation
bin10001000000011…
…10100101000000
3100221110012000201
420200032211000
5243010303143
622053454544
73351433000
oct1040164500
9327405021
10142666048
1173593128
123b941454
13237319a5
1414d3a000
15c7d164d
hex880e940

142666048 has 112 divisors (see below), whose sum is σ = 338531200. Its totient is φ = 59609088.

The previous prime is 142666039. The next prime is 142666049. The reversal of 142666048 is 840666241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 142665998 and 142666016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142666049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470736 + ... + 1470832.

It is an arithmetic number, because the mean of its divisors is an integer number (3022600).

Almost surely, 2142666048 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 142666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169265600).

142666048 is an abundant number, since it is smaller than the sum of its proper divisors (195865152).

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

142666048 is an frugal number, since it uses more digits than its factorization.

142666048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 142666048 is about 11944.2893467967. The cubic root of 142666048 is about 522.5247630641.

The spelling of 142666048 in words is "one hundred forty-two million, six hundred sixty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 67 97 98 112 134 194 196 224 268 343 388 392 448 469 536 679 686 776 784 938 1072 1358 1372 1552 1568 1876 2144 2716 2744 3104 3136 3283 3752 4288 4753 5432 5488 6208 6499 6566 7504 9506 10864 10976 12998 13132 15008 19012 21728 21952 22981 25996 26264 30016 33271 38024 43456 45493 45962 51992 52528 66542 76048 90986 91924 103984 105056 133084 152096 181972 183848 207968 210112 266168 304192 318451 363944 367696 415936 532336 636902 727888 735392 1064672 1273804 1455776 1470784 2129344 2229157 2547608 2911552 4458314 5095216 8916628 10190432 17833256 20380864 35666512 71333024 142666048