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142303392 = 25347112331
BaseRepresentation
bin10000111101101…
…10000010100000
3100220202202120000
420132312002200
5242412202032
622042020000
73345362460
oct1036660240
9326682500
10142303392
1173365710
123b7a7600
13236358ba
1414c83ba0
15c75de7c
hex87b60a0

142303392 has 480 divisors, whose sum is σ = 562028544. Its totient is φ = 34214400.

The previous prime is 142303391. The next prime is 142303393. The reversal of 142303392 is 293303241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142303391) and next prime (142303393).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142303391) 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 79 ways as a sum of consecutive naturals, for example, 4590417 + ... + 4590447.

Almost surely, 2142303392 is an apocalyptic number.

142303392 is a gapful number since it is divisible by the number (12) 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 142303392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281014272).

142303392 is an abundant number, since it is smaller than the sum of its proper divisors (419725152).

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

142303392 is a wasteful number, since it uses less digits than its factorization.

142303392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 142303392 is about 11929.0985409628. The cubic root of 142303392 is about 522.0816360630.

The spelling of 142303392 in words is "one hundred forty-two million, three hundred three thousand, three hundred ninety-two".