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142805632 = 272235003
BaseRepresentation
bin10001000001100…
…00101010000000
3100221201021111111
420200300222000
5243024240012
622100453104
73352553644
oct1040605200
9327637444
10142805632
1173678a92
123b9aa194
1323780398
1414d74c24
15c80cba7
hex8830a80

142805632 has 32 divisors (see below), whose sum is σ = 285828480. Its totient is φ = 71068416.

The previous prime is 142805629. The next prime is 142805669. The reversal of 142805632 is 236508241.

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

It is a junction number, because it is equal to n+sod(n) for n = 142805594 and 142805603.

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 3 ways as a sum of consecutive naturals, for example, 26043 + ... + 31045.

It is an arithmetic number, because the mean of its divisors is an integer number (8932140).

Almost surely, 2142805632 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 142805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142914240).

142805632 is an abundant number, since it is smaller than the sum of its proper divisors (143022848).

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

142805632 is an equidigital number, since it uses as much as digits as its factorization.

142805632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 142805632 is about 11950.1310453066. The cubic root of 142805632 is about 522.6951196968.

The spelling of 142805632 in words is "one hundred forty-two million, eight hundred five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 223 446 892 1784 3568 5003 7136 10006 14272 20012 28544 40024 80048 160096 320192 640384 1115669 2231338 4462676 8925352 17850704 35701408 71402816 142805632