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13405500 = 223453331
BaseRepresentation
bin110011001000…
…110100111100
3221020001220000
4303020310330
511412434000
61155154300
7221642043
oct63106474
927201800
1013405500
117626829
1245a5990
132a14964
141acd55a
15129c000
hexcc8d3c

13405500 has 120 divisors (see below), whose sum is σ = 43867824. Its totient is φ = 3564000.

The previous prime is 13405471. The next prime is 13405519. The reversal of 13405500 is 550431.

13405500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40335 + ... + 40665.

Almost surely, 213405500 is an apocalyptic number.

13405500 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 13405500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21933912).

13405500 is an abundant number, since it is smaller than the sum of its proper divisors (30462324).

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

13405500 is a wasteful number, since it uses less digits than its factorization.

13405500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13405500 is about 3661.3522092254. The cubic root of 13405500 is about 237.5532659844.

Adding to 13405500 its reverse (550431), we get a palindrome (13955931).

The spelling of 13405500 in words is "thirteen million, four hundred five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 250 270 300 324 331 375 405 450 500 540 662 675 750 810 900 993 1125 1324 1350 1500 1620 1655 1986 2025 2250 2700 2979 3310 3375 3972 4050 4500 4965 5958 6620 6750 8100 8275 8937 9930 10125 11916 13500 14895 16550 17874 19860 20250 24825 26811 29790 33100 35748 40500 41375 44685 49650 53622 59580 74475 82750 89370 99300 107244 124125 134055 148950 165500 178740 223425 248250 268110 297900 372375 446850 496500 536220 670275 744750 893700 1117125 1340550 1489500 2234250 2681100 3351375 4468500 6702750 13405500