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142524480 = 26357127167
BaseRepresentation
bin10000111111011…
…00000001000000
3100221011222211110
420133230001000
5242441240410
622050443320
73350303160
oct1037540100
9327158743
10142524480
11734a682a
123b893540
13236b2417
1414d005a0
15c7a4720
hex87ec040

142524480 has 224 divisors, whose sum is σ = 524353536. Its totient is φ = 32126976.

The previous prime is 142524467. The next prime is 142524497. The reversal of 142524480 is 84425241.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853357 + ... + 853523.

It is an arithmetic number, because the mean of its divisors is an integer number (2340864).

Almost surely, 2142524480 is an apocalyptic number.

142524480 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 142524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262176768).

142524480 is an abundant number, since it is smaller than the sum of its proper divisors (381829056).

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

142524480 is a wasteful number, since it uses less digits than its factorization.

142524480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 142524480 is about 11938.3616966483. The cubic root of 142524480 is about 522.3518715037.

The spelling of 142524480 in words is "one hundred forty-two million, five hundred twenty-four thousand, four hundred eighty".