Search a number
-
+
10540416 = 27327449
BaseRepresentation
bin101000001101…
…010110000000
3201211111201210
4220031112000
510144243131
61013530120
7155410035
oct50152600
921744653
1010540416
115a4a197
123643940
132250843
14158538c
15dd3146
hexa0d580

10540416 has 32 divisors (see below), whose sum is σ = 27999000. Its totient is φ = 3513344.

The previous prime is 10540381. The next prime is 10540423. The reversal of 10540416 is 61404501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105404162 = 222200738906112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10540392 and 10540401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13341 + ... + 14108.

Almost surely, 210540416 is an apocalyptic number.

10540416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10540416 is an abundant number, since it is smaller than the sum of its proper divisors (17458584).

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

10540416 is an equidigital number, since it uses as much as digits as its factorization.

10540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27466 (or 27454 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10540416 is about 3246.6006837922. The cubic root of 10540416 is about 219.2565538629.

Adding to 10540416 its reverse (61404501), we get a palindrome (71944917).

The spelling of 10540416 in words is "ten million, five hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 27449 54898 82347 109796 164694 219592 329388 439184 658776 878368 1317552 1756736 2635104 3513472 5270208 10540416