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13491540 = 22325174409
BaseRepresentation
bin110011011101…
…110101010100
3221101102220200
4303131311110
511423212130
61201100500
7222450636
oct63356524
927342820
1013491540
117685437
124627730
132a44b7a
141b12a56
1512b7760
hexcddd54

13491540 has 72 divisors (see below), whose sum is σ = 43341480. Its totient is φ = 3385344.

The previous prime is 13491529. The next prime is 13491563. The reversal of 13491540 is 4519431.

13491540 is a `hidden beast` number, since 1 + 34 + 91 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 617796 + 12873744 = 786^2 + 3588^2 .

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, 856 + ... + 5264.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 213491540 is an apocalyptic number.

13491540 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 13491540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670740).

13491540 is an abundant number, since it is smaller than the sum of its proper divisors (29849940).

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

13491540 is a wasteful number, since it uses less digits than its factorization.

13491540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13491540 is about 3673.0831735750. The cubic root of 13491540 is about 238.0604088355.

The spelling of 13491540 in words is "thirteen million, four hundred ninety-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4409 8818 13227 17636 22045 26454 39681 44090 52908 66135 74953 79362 88180 132270 149906 158724 198405 224859 264540 299812 374765 396810 449718 674577 749530 793620 899436 1124295 1349154 1499060 2248590 2698308 3372885 4497180 6745770 13491540