Search a number
-
+
142131780 = 223357191979
BaseRepresentation
bin10000111100011…
…00001001000100
3100220110001011000
420132030021010
5242341204110
622034213300
73344046240
oct1036141104
9326401130
10142131780
117325878a
123b724230
13235a575b
1414c3b420
15c7281c0
hex878c244

142131780 has 192 divisors, whose sum is σ = 532224000. Its totient is φ = 30761856.

The previous prime is 142131779. The next prime is 142131791. The reversal of 142131780 is 87131241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70831 + ... + 72809.

It is an arithmetic number, because the mean of its divisors is an integer number (2772000).

Almost surely, 2142131780 is an apocalyptic number.

142131780 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 142131780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112000).

142131780 is an abundant number, since it is smaller than the sum of its proper divisors (390092220).

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

142131780 is a wasteful number, since it uses less digits than its factorization.

142131780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 142131780 is about 11921.9033715259. The cubic root of 142131780 is about 521.8716820280.

The spelling of 142131780 in words is "one hundred forty-two million, one hundred thirty-one thousand, seven hundred eighty".