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142711136 = 2523712731
BaseRepresentation
bin10001000000110…
…01100101100000
3100221112110212122
420200121211200
5243013224021
622054443412
73352011311
oct1040314540
9327473778
10142711136
1173613a97
123b963568
1323749379
1414d4c608
15c7debab
hex8819960

142711136 has 48 divisors (see below), whose sum is σ = 297416448. Its totient is φ = 67267200.

The previous prime is 142711133. The next prime is 142711169. The reversal of 142711136 is 631117241.

Adding to 142711136 its reverse (631117241), we get a palindrome (773828377).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142711133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50891 + ... + 53621.

It is an arithmetic number, because the mean of its divisors is an integer number (6196176).

Almost surely, 2142711136 is an apocalyptic number.

142711136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142711136 is the 6386-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142711136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148708224).

142711136 is an abundant number, since it is smaller than the sum of its proper divisors (154705312).

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

142711136 is a wasteful number, since it uses less digits than its factorization.

142711136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2827 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 142711136 is about 11946.1766268543. The cubic root of 142711136 is about 522.5798032912.

The spelling of 142711136 in words is "one hundred forty-two million, seven hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 284 368 568 736 1136 1633 2272 2731 3266 5462 6532 10924 13064 21848 26128 43696 52256 62813 87392 125626 193901 251252 387802 502504 775604 1005008 1551208 2010016 3102416 4459723 6204832 8919446 17838892 35677784 71355568 142711136