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142345500 = 22353118627
BaseRepresentation
bin10000111110000…
…00010100011100
3100220211220022120
420133000110130
5242420024000
622042542540
73345626313
oct1037002434
9326756276
10142345500
1173394310
123b807a50
132364bb0b
1414c9527a
15c76b6a0
hex87c051c

142345500 has 96 divisors (see below), whose sum is σ = 452245248. Its totient is φ = 34504000.

The previous prime is 142345493. The next prime is 142345501. The reversal of 142345500 is 5543241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142345501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12187 + ... + 20813.

It is an arithmetic number, because the mean of its divisors is an integer number (4710888).

Almost surely, 2142345500 is an apocalyptic number.

142345500 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 142345500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226122624).

142345500 is an abundant number, since it is smaller than the sum of its proper divisors (309899748).

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

142345500 is a wasteful number, since it uses less digits than its factorization.

142345500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8660 (or 8648 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 142345500 is about 11930.8633384177. The cubic root of 142345500 is about 522.1331261580.

Adding to 142345500 its reverse (5543241), we get a palindrome (147888741).

It can be divided in two parts, 142345 and 500, that added together give a triangular number (142845 = T534).

The spelling of 142345500 in words is "one hundred forty-two million, three hundred forty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4125 5500 8250 8627 16500 17254 25881 34508 43135 51762 86270 94897 103524 129405 172540 189794 215675 258810 284691 379588 431350 474485 517620 569382 647025 862700 948970 1078375 1138764 1294050 1423455 1897940 2156750 2372425 2588100 2846910 3235125 4313500 4744850 5693820 6470250 7117275 9489700 11862125 12940500 14234550 23724250 28469100 35586375 47448500 71172750 142345500