Search a number
-
+
141620128 = 25132771229
BaseRepresentation
bin10000111000011…
…11001110100000
3100212111001021221
420130033032200
5242223321003
622015224424
73336515446
oct1034171640
9325431257
10141620128
1172a39331
123b518114
13234568c0
1414b46b96
15c6767bd
hex870f3a0

141620128 has 48 divisors (see below), whose sum is σ = 301591080. Its totient is φ = 65074176.

The previous prime is 141620077. The next prime is 141620147. The reversal of 141620128 is 821026141.

It can be written as a sum of positive squares in 4 ways, for example, as 116899344 + 24720784 = 10812^2 + 4972^2 .

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, 114618 + ... + 115846.

Almost surely, 2141620128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141620128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150795540).

141620128 is an abundant number, since it is smaller than the sum of its proper divisors (159970952).

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

141620128 is a wasteful number, since it uses less digits than its factorization.

141620128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 141620128 is about 11900.4255386100. The cubic root of 141620128 is about 521.2447104992.

Adding to 141620128 its reverse (821026141), we get a palindrome (962646269).

The spelling of 141620128 in words is "one hundred forty-one million, six hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 277 416 554 1108 1229 2216 2458 3601 4432 4916 7202 8864 9832 14404 15977 19664 28808 31954 39328 57616 63908 115232 127816 255632 340433 511264 680866 1361732 2723464 4425629 5446928 8851258 10893856 17702516 35405032 70810064 141620128