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13740660 = 22325233319
BaseRepresentation
bin110100011010…
…101001110100
3221212002122100
4310122221310
512004200120
61210302100
7224536143
oct64325164
927762570
1013740660
11783561a
124727930
132b0138b
141b7975a
151316490
hexd1aa74

13740660 has 72 divisors (see below), whose sum is σ = 43505280. Its totient is φ = 3503808.

The previous prime is 13740599. The next prime is 13740673. The reversal of 13740660 is 6604731.

13740660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2481 + ... + 5799.

It is an arithmetic number, because the mean of its divisors is an integer number (604240).

Almost surely, 213740660 is an apocalyptic number.

13740660 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 13740660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21752640).

13740660 is an abundant number, since it is smaller than the sum of its proper divisors (29764620).

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

13740660 is a wasteful number, since it uses less digits than its factorization.

13740660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13740660 is about 3706.8396242622. The cubic root of 13740660 is about 239.5167358856.

It can be divided in two parts, 13740 and 660, that added together give a square (14400 = 1202).

The spelling of 13740660 in words is "thirteen million, seven hundred forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 3319 4140 6638 9957 13276 16595 19914 29871 33190 39828 49785 59742 66380 76337 99570 119484 149355 152674 199140 229011 298710 305348 381685 458022 597420 687033 763370 916044 1145055 1374066 1526740 2290110 2748132 3435165 4580220 6870330 13740660