Search a number
-
+
141305060 = 225131015381
BaseRepresentation
bin10000110110000…
…10010011100100
3100211220001002202
420123002103210
5242133230220
622004354032
73334034051
oct1033022344
9324801082
10141305060
1172843646
123b3a5918
1323376380
1414aa4028
15c613275
hex86c24e4

141305060 has 48 divisors (see below), whose sum is σ = 322790832. Its totient is φ = 51648000.

The previous prime is 141305053. The next prime is 141305069. The reversal of 141305060 is 60503141.

It can be written as a sum of positive squares in 8 ways, for example, as 550564 + 140754496 = 742^2 + 11864^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (141305069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23570 + ... + 28950.

It is an arithmetic number, because the mean of its divisors is an integer number (6724809).

Almost surely, 2141305060 is an apocalyptic number.

141305060 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 141305060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161395416).

141305060 is an abundant number, since it is smaller than the sum of its proper divisors (181485772).

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

141305060 is a wasteful number, since it uses less digits than its factorization.

141305060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 141305060 is about 11887.1804899227. The cubic root of 141305060 is about 520.8578787934.

The spelling of 141305060 in words is "one hundred forty-one million, three hundred five thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 5381 6565 10762 13130 21524 26260 26905 53810 69953 107620 139906 279812 349765 543481 699530 1086962 1399060 2173924 2717405 5434810 7065253 10869620 14130506 28261012 35326265 70652530 141305060