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142314600 = 23352298179
BaseRepresentation
bin10000111101110…
…00110001101000
3100220210022221010
420132320301220
5242413031400
622042143520
73345440241
oct1036706150
9326708833
10142314600
117337307a
123b7b1ba0
132363aa2c
1414c87cc8
15c762450
hex87b8c68

142314600 has 96 divisors (see below), whose sum is σ = 456444000. Its totient is φ = 36637440.

The previous prime is 142314589. The next prime is 142314619. The reversal of 142314600 is 6413241.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13311 + ... + 21489.

It is an arithmetic number, because the mean of its divisors is an integer number (4754625).

Almost surely, 2142314600 is an apocalyptic number.

142314600 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 142314600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228222000).

142314600 is an abundant number, since it is smaller than the sum of its proper divisors (314129400).

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

142314600 is a wasteful number, since it uses less digits than its factorization.

142314600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 142314600 is about 11929.5683073613. The cubic root of 142314600 is about 522.0953423124.

Adding to 142314600 its reverse (6413241), we get a palindrome (148727841).

The spelling of 142314600 in words is "one hundred forty-two million, three hundred fourteen thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8179 8700 16358 17400 24537 32716 40895 49074 65432 81790 98148 122685 163580 196296 204475 237191 245370 327160 408950 474382 490740 613425 711573 817900 948764 981480 1185955 1226850 1423146 1635800 1897528 2371910 2453700 2846292 3557865 4743820 4907400 5692584 5929775 7115730 9487640 11859550 14231460 17789325 23719100 28462920 35578650 47438200 71157300 142314600