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142353200 = 24521132353
BaseRepresentation
bin10000111110000…
…10001100110000
3100220212021212202
420133002030300
5242420300300
622043042332
73345660623
oct1037021460
9326767782
10142353200
117339a080
123b8103a8
1323652482
1414c97dba
15c76dad5
hex87c2330

142353200 has 60 divisors (see below), whose sum is σ = 373106328. Its totient is φ = 51763200.

The previous prime is 142353191. The next prime is 142353203. The reversal of 142353200 is 2353241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (142353203) 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 11 ways as a sum of consecutive naturals, for example, 11777 + ... + 20576.

Almost surely, 2142353200 is an apocalyptic number.

142353200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142353200 is an abundant number, since it is smaller than the sum of its proper divisors (230753128).

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

142353200 is a wasteful number, since it uses less digits than its factorization.

142353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32382 (or 32371 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 142353200 is about 11931.1860265441. The cubic root of 142353200 is about 522.1425406988.

The spelling of 142353200 in words is "one hundred forty-two million, three hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 32353 64706 129412 161765 258824 323530 355883 517648 647060 711766 808825 1294120 1423532 1617650 1779415 2588240 2847064 3235300 3558830 5694128 6470600 7117660 8897075 12941200 14235320 17794150 28470640 35588300 71176600 142353200