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127140 = 223513163
BaseRepresentation
bin11111000010100100
320110101220
4133002210
513032030
62420340
71036446
oct370244
9213356
10127140
1187582
12616b0
1345b40
1434496
1527a10
hex1f0a4

127140 has 48 divisors (see below), whose sum is σ = 385728. Its totient is φ = 31104.

The previous prime is 127139. The next prime is 127157. The reversal of 127140 is 41721.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (8036).

2127140 is an apocalyptic number.

127140 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 127140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192864).

127140 is an abundant number, since it is smaller than the sum of its proper divisors (258588).

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

127140 is a wasteful number, since it uses less digits than its factorization.

127140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 127140 is about 356.5669642578. The cubic root of 127140 is about 50.2837203435.

Adding to 127140 its reverse (41721), we get a palindrome (168861).

The spelling of 127140 in words is "one hundred twenty-seven thousand, one hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 163 195 260 326 390 489 652 780 815 978 1630 1956 2119 2445 3260 4238 4890 6357 8476 9780 10595 12714 21190 25428 31785 42380 63570 127140