Search a number
-
+
13461140 = 2257118741
BaseRepresentation
bin110011010110…
…011010010100
3221022220012202
4303112122110
511421224030
61200304032
7222263210
oct63263224
927286182
1013461140
117664610
124612018
132a34094
141b05940
1512ad745
hexcd6694

13461140 has 48 divisors (see below), whose sum is σ = 35247744. Its totient is φ = 4195200.

The previous prime is 13461137. The next prime is 13461143. The reversal of 13461140 is 4116431.

13461140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13461137) and next prime (13461143).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13461143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2831 + ... + 5910.

It is an arithmetic number, because the mean of its divisors is an integer number (734328).

Almost surely, 213461140 is an apocalyptic number.

13461140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13461140 is an abundant number, since it is smaller than the sum of its proper divisors (21786604).

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

13461140 is a wasteful number, since it uses less digits than its factorization.

13461140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768 (or 8766 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13461140 is about 3668.9426269703. The cubic root of 13461140 is about 237.8814700612.

Adding to 13461140 its reverse (4116431), we get a palindrome (17577571).

The spelling of 13461140 in words is "thirteen million, four hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 8741 17482 34964 43705 61187 87410 96151 122374 174820 192302 244748 305935 384604 480755 611870 673057 961510 1223740 1346114 1923020 2692228 3365285 6730570 13461140