Search a number
-
+
142944480 = 25335729163
BaseRepresentation
bin10001000010100…
…10100011100000
3100221222022222000
420201102203200
5243043210410
622103444000
73354002520
oct1041224340
9327868860
10142944480
1173763338
123ba56600
13237cb643
1414dad680
15c838dc0
hex88528e0

142944480 has 384 divisors, whose sum is σ = 595123200. Its totient is φ = 31352832.

The previous prime is 142944463. The next prime is 142944481. The reversal of 142944480 is 84449241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142944481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 876879 + ... + 877041.

It is an arithmetic number, because the mean of its divisors is an integer number (1549800).

Almost surely, 2142944480 is an apocalyptic number.

142944480 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 142944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297561600).

142944480 is an abundant number, since it is smaller than the sum of its proper divisors (452178720).

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

142944480 is a wasteful number, since it uses less digits than its factorization.

142944480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 142944480 is about 11955.9391099152. The cubic root of 142944480 is about 522.8644679743.

The spelling of 142944480 in words is "one hundred forty-two million, nine hundred forty-four thousand, four hundred eighty".