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142227360 = 25335114173
BaseRepresentation
bin10000111101000…
…11011110100000
3100220121220021000
420132203132200
5242402233420
622040232000
73344625012
oct1036433640
9326556230
10142227360
1173313580
123b76b600
132360a102
1414c641b2
15c746690
hex87a37a0

142227360 has 384 divisors, whose sum is σ = 563915520. Its totient is φ = 33177600.

The previous prime is 142227313. The next prime is 142227367. The reversal of 142227360 is 63722241.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142227367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1948284 + ... + 1948356.

It is an arithmetic number, because the mean of its divisors is an integer number (1468530).

Almost surely, 2142227360 is an apocalyptic number.

142227360 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 142227360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281957760).

142227360 is an abundant number, since it is smaller than the sum of its proper divisors (421688160).

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

142227360 is a wasteful number, since it uses less digits than its factorization.

142227360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 142227360 is about 11925.9112859353. The cubic root of 142227360 is about 521.9886376177.

It can be divided in two parts, 1422 and 27360, that added together give a palindrome (28782).

The spelling of 142227360 in words is "one hundred forty-two million, two hundred twenty-seven thousand, three hundred sixty".