Search a number
-
+
101246540 = 22529227769
BaseRepresentation
bin1100000100011…
…10011001001100
321001111212010212
412002032121030
5201404342130
614014021552
72336403263
oct602163114
9231455125
10101246540
115217302a
1229aa78b8
1317c8bcc5
14d6375da
158d4de95
hex608e64c

101246540 has 48 divisors (see below), whose sum is σ = 221205600. Its totient is φ = 38879232.

The previous prime is 101246533. The next prime is 101246567. The reversal of 101246540 is 45642101.

It is an unprimeable number.

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, 131276 + ... + 132044.

It is an arithmetic number, because the mean of its divisors is an integer number (4608450).

Almost surely, 2101246540 is an apocalyptic number.

101246540 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 101246540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110602800).

101246540 is an abundant number, since it is smaller than the sum of its proper divisors (119959060).

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

101246540 is a wasteful number, since it uses less digits than its factorization.

101246540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 101246540 is about 10062.1339684979. The cubic root of 101246540 is about 466.0795666847.

Adding to 101246540 its reverse (45642101), we get a palindrome (146888641).

The spelling of 101246540 in words is "one hundred one million, two hundred forty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 227 290 454 580 769 908 1135 1538 2270 3076 3845 4540 6583 7690 13166 15380 22301 26332 32915 44602 65830 89204 111505 131660 174563 223010 349126 446020 698252 872815 1745630 3491260 5062327 10124654 20249308 25311635 50623270 101246540