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142312000 = 265317789
BaseRepresentation
bin10000111101110…
…00001001000000
3100220210012100211
420132320021000
5242412441000
622042123504
73345426535
oct1036701100
9326705324
10142312000
1173371126
123b7b0594
13236397ac
1414c86d8c
15c7617ba
hex87b8240

142312000 has 56 divisors (see below), whose sum is σ = 352455480. Its totient is φ = 56921600.

The previous prime is 142311989. The next prime is 142312003. The reversal of 142312000 is 213241.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 140754496 = 1248^2 + 11864^2 .

It is not an unprimeable number, because it can be changed into a prime (142312003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 895 + ... + 16894.

Almost surely, 2142312000 is an apocalyptic number.

142312000 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 142312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176227740).

142312000 is an abundant number, since it is smaller than the sum of its proper divisors (210143480).

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

142312000 is an equidigital number, since it uses as much as digits as its factorization.

142312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17816 (or 17796 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 142312000 is about 11929.4593339346. The cubic root of 142312000 is about 522.0921628397.

Adding to 142312000 its reverse (213241), we get a palindrome (142525241).

The spelling of 142312000 in words is "one hundred forty-two million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 17789 35578 71156 88945 142312 177890 284624 355780 444725 569248 711560 889450 1138496 1423120 1778900 2223625 2846240 3557800 4447250 5692480 7115600 8894500 14231200 17789000 28462400 35578000 71156000 142312000