Search a number
-
+
142873920 = 26325719373
BaseRepresentation
bin10001000010000…
…01010101000000
3100221211202011200
420201001111000
5243033431140
622102141200
73353260020
oct1041012500
9327752150
10142873920
1173715322
123ba21800
13237a54a7
1414d91a80
15c823030
hex8841540

142873920 has 336 divisors, whose sum is σ = 592775040. Its totient is φ = 30855168.

The previous prime is 142873903. The next prime is 142873931. The reversal of 142873920 is 29378241.

142873920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382854 + ... + 383226.

Almost surely, 2142873920 is an apocalyptic number.

142873920 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 142873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296387520).

142873920 is an abundant number, since it is smaller than the sum of its proper divisors (449901120).

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

142873920 is a wasteful number, since it uses less digits than its factorization.

142873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 142873920 is about 11952.9879109786. The cubic root of 142873920 is about 522.7784220052.

The spelling of 142873920 in words is "one hundred forty-two million, eight hundred seventy-three thousand, nine hundred twenty".