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142753428 = 22342915193
BaseRepresentation
bin10001000001000…
…11111010010100
3100221121121220000
420200203322110
5243021102203
622055411300
73352245516
oct1040437224
9327547800
10142753428
1173642844
123b983b30
13237626ac
1414d5dbb6
15c7ec4a3
hex8823e94

142753428 has 60 divisors (see below), whose sum is σ = 386079540. Its totient is φ = 45940608.

The previous prime is 142753427. The next prime is 142753447. The reversal of 142753428 is 824357241.

It is a happy number.

142753428 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 116251524 + 26501904 = 10782^2 + 5148^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142753392 and 142753401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142753423) 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 19 ways as a sum of consecutive naturals, for example, 1800 + ... + 16992.

It is an arithmetic number, because the mean of its divisors is an integer number (6434659).

Almost surely, 2142753428 is an apocalyptic number.

142753428 is a gapful number since it is divisible by the number (18) 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 142753428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193039770).

142753428 is an abundant number, since it is smaller than the sum of its proper divisors (243326112).

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

142753428 is a wasteful number, since it uses less digits than its factorization.

142753428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15238 (or 15227 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 142753428 is about 11947.9466018224. The cubic root of 142753428 is about 522.6314198242.

The spelling of 142753428 in words is "one hundred forty-two million, seven hundred fifty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 15193 30386 45579 60772 91158 136737 182316 273474 410211 440597 546948 820422 881194 1230633 1321791 1640844 1762388 2461266 2643582 3965373 4922532 5287164 7930746 11896119 15861492 23792238 35688357 47584476 71376714 142753428