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142460164 = 22711895197
BaseRepresentation
bin10000111110111…
…00010100000100
3100221001201121101
420133130110010
5242432211124
622045225444
73346614520
oct1037342404
9327051541
10142460164
1173462480
123b862284
132368c072
1414cc4d80
15c790644
hex87dc504

142460164 has 48 divisors (see below), whose sum is σ = 314375040. Its totient is φ = 54869760.

The previous prime is 142460141. The next prime is 142460173. The reversal of 142460164 is 461064241.

142460164 = T447 + T448 + ... + T980.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24814 + ... + 30010.

It is an arithmetic number, because the mean of its divisors is an integer number (6549480).

Almost surely, 2142460164 is an apocalyptic number.

142460164 is a gapful number since it is divisible by the number (14) 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 142460164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157187520).

142460164 is an abundant number, since it is smaller than the sum of its proper divisors (171914876).

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

142460164 is a wasteful number, since it uses less digits than its factorization.

142460164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308 (or 5306 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 142460164 is about 11935.6677232570. The cubic root of 142460164 is about 522.2732870207.

It can be divided in two parts, 1424 and 60164, that multiplied together give a square (85673536 = 92562).

The spelling of 142460164 in words is "one hundred forty-two million, four hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 89 154 178 308 356 623 979 1246 1958 2492 3916 5197 6853 10394 13706 20788 27412 36379 57167 72758 114334 145516 228668 400169 462533 800338 925066 1600676 1850132 3237731 5087863 6475462 10175726 12950924 20351452 35615041 71230082 142460164