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142747200 = 26325223431
BaseRepresentation
bin10001000001000…
…10011001000000
3100221121022100100
420200202121000
5243020402300
622055322400
73352221411
oct1040423100
9327538310
10142747200
11736390a2
123b980400
132375c8cb
1414d5b808
15c7ea700
hex8822640

142747200 has 252 divisors, whose sum is σ = 530644608. Its totient is φ = 36326400.

The previous prime is 142747183. The next prime is 142747211. The reversal of 142747200 is 2747241.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330985 + ... + 331415.

Almost surely, 2142747200 is an apocalyptic number.

142747200 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 142747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265322304).

142747200 is an abundant number, since it is smaller than the sum of its proper divisors (387897408).

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

142747200 is a wasteful number, since it uses less digits than its factorization.

142747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 142747200 is about 11947.6859684208. The cubic root of 142747200 is about 522.6238193160.

The spelling of 142747200 in words is "one hundred forty-two million, seven hundred forty-seven thousand, two hundred".