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142551400 = 23521017057
BaseRepresentation
bin10000111111100…
…10100101101000
3100221020100202111
420133302211220
5242443121100
622051212104
73350444515
oct1037624550
9327210674
10142551400
1173514a82
123b8a7034
13236c1754
1414d0a30c
15c7ac6ba
hex87f2968

142551400 has 48 divisors (see below), whose sum is σ = 334760940. Its totient is φ = 56448000.

The previous prime is 142551371. The next prime is 142551403. The reversal of 142551400 is 4155241.

142551400 is digitally balanced in base 2, 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 6 ways, for example, as 133587364 + 8964036 = 11558^2 + 2994^2 .

It is not an unprimeable number, because it can be changed into a prime (142551403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16672 + ... + 23728.

Almost surely, 2142551400 is an apocalyptic number.

142551400 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 142551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167380470).

142551400 is an abundant number, since it is smaller than the sum of its proper divisors (192209540).

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

142551400 is a wasteful number, since it uses less digits than its factorization.

142551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7174 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 142551400 is about 11939.4891012974. The cubic root of 142551400 is about 522.3847566781.

It can be divided in two parts, 1425 and 51400, that added together give a palindrome (52825).

The spelling of 142551400 in words is "one hundred forty-two million, five hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 7057 10100 14114 20200 28228 35285 56456 70570 141140 176425 282280 352850 705700 712757 1411400 1425514 2851028 3563785 5702056 7127570 14255140 17818925 28510280 35637850 71275700 142551400