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13405260 = 223511191069
BaseRepresentation
bin110011001000…
…110001001100
3221020001120010
4303020301030
511412432020
61155153220
7221641251
oct63106114
927201503
1013405260
117626630
1245a5810
132a1480b
141acd428
15129bde0
hexcc8c4c

13405260 has 96 divisors (see below), whose sum is σ = 43142400. Its totient is φ = 3075840.

The previous prime is 13405253. The next prime is 13405261. The reversal of 13405260 is 6250431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13405261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12006 + ... + 13074.

It is an arithmetic number, because the mean of its divisors is an integer number (449400).

Almost surely, 213405260 is an apocalyptic number.

13405260 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 13405260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21571200).

13405260 is an abundant number, since it is smaller than the sum of its proper divisors (29737140).

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

13405260 is a wasteful number, since it uses less digits than its factorization.

13405260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13405260 is about 3661.3194343023. The cubic root of 13405260 is about 237.5518483294.

Adding to 13405260 its reverse (6250431), we get a palindrome (19655691).

The spelling of 13405260 in words is "thirteen million, four hundred five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1069 1140 1254 2090 2138 2508 3135 3207 4180 4276 5345 6270 6414 10690 11759 12540 12828 16035 20311 21380 23518 32070 35277 40622 47036 58795 60933 64140 70554 81244 101555 117590 121866 141108 176385 203110 223421 235180 243732 304665 352770 406220 446842 609330 670263 705540 893684 1117105 1218660 1340526 2234210 2681052 3351315 4468420 6702630 13405260