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142080600 = 23352435507
BaseRepresentation
bin10000111011111…
…11101001011000
3100220100102221110
420131333221120
5242333034400
622033140320
73343444104
oct1035775130
9326312843
10142080600
1173223292
123b6ba6a0
132358837c
1414c26904
15c717e50
hex877fa58

142080600 has 96 divisors (see below), whose sum is σ = 450774720. Its totient is φ = 37000320.

The previous prime is 142080593. The next prime is 142080619. The reversal of 142080600 is 6080241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23047 + ... + 28553.

It is an arithmetic number, because the mean of its divisors is an integer number (4695570).

Almost surely, 2142080600 is an apocalyptic number.

142080600 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 142080600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225387360).

142080600 is an abundant number, since it is smaller than the sum of its proper divisors (308694120).

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

142080600 is a wasteful number, since it uses less digits than its factorization.

142080600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 142080600 is about 11919.7567089266. The cubic root of 142080600 is about 521.8090345346.

The spelling of 142080600 in words is "one hundred forty-two million, eighty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 5507 6450 8600 11014 12900 16521 22028 25800 27535 33042 44056 55070 66084 82605 110140 132168 137675 165210 220280 236801 275350 330420 413025 473602 550700 660840 710403 826050 947204 1101400 1184005 1420806 1652100 1894408 2368010 2841612 3304200 3552015 4736020 5683224 5920025 7104030 9472040 11840050 14208060 17760075 23680100 28416120 35520150 47360200 71040300 142080600