Search a number
-
+
10109840 = 245139721
BaseRepresentation
bin100110100100…
…001110010000
3201000122002112
4212210032100
510042003330
61000404452
7151634516
oct46441620
921018075
1010109840
115785744
123476728
13212c870
1414b24b6
15d4a795
hex9a4390

10109840 has 40 divisors (see below), whose sum is σ = 25316088. Its totient is φ = 3732480.

The previous prime is 10109839. The next prime is 10109851. The reversal of 10109840 is 4890101.

It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 9759376 = 592^2 + 3124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 3821 + ... + 5900.

Almost surely, 210109840 is an apocalyptic number.

10109840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10109840 is an abundant number, since it is smaller than the sum of its proper divisors (15206248).

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

10109840 is a wasteful number, since it uses less digits than its factorization.

10109840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747 (or 9741 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 10109840 is about 3179.5974587988. The cubic root of 10109840 is about 216.2294087558.

Adding to 10109840 its reverse (4890101), we get a palindrome (14999941).

The spelling of 10109840 in words is "ten million, one hundred nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 9721 19442 38884 48605 77768 97210 126373 155536 194420 252746 388840 505492 631865 777680 1010984 1263730 2021968 2527460 5054920 10109840