Search a number
-
+
142130496 = 2631136551
BaseRepresentation
bin10000111100010…
…11110101000000
3100220102222101110
420132023311000
5242341133441
622034203320
73344042424
oct1036136500
9326388343
10142130496
1173257822
123b723540
13235a4cb1
1414c3ab84
15c727b16
hex878bd40

142130496 has 56 divisors (see below), whose sum is σ = 379439424. Its totient is φ = 46950400.

The previous prime is 142130467. The next prime is 142130519. The reversal of 142130496 is 694031241.

142130496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18421 + ... + 24971.

It is an arithmetic number, because the mean of its divisors is an integer number (6775704).

Almost surely, 2142130496 is an apocalyptic number.

142130496 is a gapful number since it is divisible by the number (16) 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 142130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189719712).

142130496 is an abundant number, since it is smaller than the sum of its proper divisors (237308928).

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

142130496 is a wasteful number, since it uses less digits than its factorization.

142130496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 142130496 is about 11921.8495209426. The cubic root of 142130496 is about 521.8701105163.

The spelling of 142130496 in words is "one hundred forty-two million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 5424 6551 7232 10848 13102 19653 21696 26204 39306 52408 78612 104816 157224 209632 314448 419264 628896 740263 1257792 1480526 2220789 2961052 4441578 5922104 8883156 11844208 17766312 23688416 35532624 47376832 71065248 142130496