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142058624 = 271577069
BaseRepresentation
bin10000111011110…
…10010010000000
3100220022022210112
420131322102000
5242331333444
622032450452
73343323041
oct1035722200
9326268715
10142058624
1173208824
123b6a9a28
132357b376
1414c1c8c8
15c71169e
hex877a480

142058624 has 32 divisors (see below), whose sum is σ = 284850300. Its totient is φ = 70566912.

The previous prime is 142058593. The next prime is 142058629. The reversal of 142058624 is 426850241.

It can be written as a sum of positive squares in 2 ways, for example, as 137358400 + 4700224 = 11720^2 + 2168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (142058629) 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 3 ways as a sum of consecutive naturals, for example, 16562 + ... + 23630.

Almost surely, 2142058624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142058624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142425150).

142058624 is an abundant number, since it is smaller than the sum of its proper divisors (142791676).

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

142058624 is an equidigital number, since it uses as much as digits as its factorization.

142058624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 142058624 is about 11918.8348423829. The cubic root of 142058624 is about 521.7821299311.

The spelling of 142058624 in words is "one hundred forty-two million, fifty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 1256 2512 5024 7069 10048 14138 20096 28276 56552 113104 226208 452416 904832 1109833 2219666 4439332 8878664 17757328 35514656 71029312 142058624