Search a number
-
+
142180000 = 25547109
BaseRepresentation
bin10000111100101…
…11111010100000
3100220112111021221
420132113322200
5242344230000
622035224424
73344336644
oct1036277240
9326474257
10142180000
1173290a36
123b748114
13235c16a1
1414c50c24
15c73761a
hex8797ea0

142180000 has 60 divisors (see below), whose sum is σ = 349833330. Its totient is φ = 56864000.

The previous prime is 142179991. The next prime is 142180037. The reversal of 142180000 is 81241.

It is a happy number.

142180000 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 5 ways, for example, as 1140624 + 141039376 = 1068^2 + 11876^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16446 + ... + 23554.

Almost surely, 2142180000 is an apocalyptic number.

142180000 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 142180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174916665).

142180000 is an abundant number, since it is smaller than the sum of its proper divisors (207653330).

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

142180000 is an frugal number, since it uses more digits than its factorization.

142180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7139 (or 7116 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 142180000 is about 11923.9255281136. The cubic root of 142180000 is about 521.9306925398.

The spelling of 142180000 in words is "one hundred forty-two million, one hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 7109 10000 14218 20000 28436 35545 56872 71090 113744 142180 177725 227488 284360 355450 568720 710900 888625 1137440 1421800 1777250 2843600 3554500 4443125 5687200 7109000 8886250 14218000 17772500 28436000 35545000 71090000 142180000