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142111600 = 24522912251
BaseRepresentation
bin10000111100001…
…11001101110000
3100220102000110121
420132013031300
5242340032400
622033540024
73343633351
oct1036071560
9326360417
10142111600
1173244604
123b714614
1323599507
1414c33d28
15c72221a
hex8787370

142111600 has 60 divisors (see below), whose sum is σ = 353225160. Its totient is φ = 54880000.

The previous prime is 142111591. The next prime is 142111601. The reversal of 142111600 is 6111241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142111601) 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 11 ways as a sum of consecutive naturals, for example, 5475 + ... + 17725.

It is an arithmetic number, because the mean of its divisors is an integer number (5887086).

Almost surely, 2142111600 is an apocalyptic number.

142111600 is a gapful number since it is divisible by the number (10) 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 142111600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176612580).

142111600 is an abundant number, since it is smaller than the sum of its proper divisors (211113560).

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

142111600 is a wasteful number, since it uses less digits than its factorization.

142111600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12298 (or 12287 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 142111600 is about 11921.0570001154. The cubic root of 142111600 is about 521.8469822529.

Adding to 142111600 its reverse (6111241), we get a palindrome (148222841).

It can be divided in two parts, 1421 and 11600, that multiplied together give a square (16483600 = 40602).

The spelling of 142111600 in words is "one hundred forty-two million, one hundred eleven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 12251 24502 49004 61255 98008 122510 196016 245020 306275 355279 490040 612550 710558 980080 1225100 1421116 1776395 2450200 2842232 3552790 4900400 5684464 7105580 8881975 14211160 17763950 28422320 35527900 71055800 142111600