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142532200 = 23524759257
BaseRepresentation
bin10000111111011…
…01111001101000
3100221012101102101
420133231321220
5242442012300
622050543144
73350334526
oct1037557150
9327171371
10142532200
1173501608
123b897ab4
13236b5aa5
1414d03316
15c7a6b6a
hex87ede68

142532200 has 96 divisors (see below), whose sum is σ = 345513600. Its totient is φ = 54640640.

The previous prime is 142532183. The next prime is 142532209. The reversal of 142532200 is 2235241.

It is not an unprimeable number, because it can be changed into a prime (142532209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554472 + ... + 554728.

It is an arithmetic number, because the mean of its divisors is an integer number (3599100).

Almost surely, 2142532200 is an apocalyptic number.

142532200 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 142532200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172756800).

142532200 is an abundant number, since it is smaller than the sum of its proper divisors (202981400).

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

142532200 is a wasteful number, since it uses less digits than its factorization.

142532200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 142532200 is about 11938.6850197164. The cubic root of 142532200 is about 522.3613025938.

Adding to 142532200 its reverse (2235241), we get a palindrome (144767441).

The spelling of 142532200 in words is "one hundred forty-two million, five hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 59 94 100 118 188 200 235 236 257 295 376 470 472 514 590 940 1028 1175 1180 1285 1475 1880 2056 2350 2360 2570 2773 2950 4700 5140 5546 5900 6425 9400 10280 11092 11800 12079 12850 13865 15163 22184 24158 25700 27730 30326 48316 51400 55460 60395 60652 69325 75815 96632 110920 120790 121304 138650 151630 241580 277300 301975 303260 379075 483160 554600 603950 606520 712661 758150 1207900 1425322 1516300 2415800 2850644 3032600 3563305 5701288 7126610 14253220 17816525 28506440 35633050 71266100 142532200