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13491072 = 273272239
BaseRepresentation
bin110011011101…
…101110000000
3221101102021100
4303131232000
511423203242
61201054400
7222446400
oct63355600
927342240
1013491072
117685051
124627400
132a448aa
141b12800
1512b754c
hexcddb80

13491072 has 144 divisors (see below), whose sum is σ = 45349200. Its totient is φ = 3838464.

The previous prime is 13491029. The next prime is 13491073. The reversal of 13491072 is 27019431.

13491072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13491073) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56329 + ... + 56567.

It is an arithmetic number, because the mean of its divisors is an integer number (314925).

Almost surely, 213491072 is an apocalyptic number.

13491072 is a gapful number since it is divisible by the number (12) 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 13491072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22674600).

13491072 is an abundant number, since it is smaller than the sum of its proper divisors (31858128).

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

13491072 is a wasteful number, since it uses less digits than its factorization.

13491072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13491072 is about 3673.0194663247. The cubic root of 13491072 is about 238.0576561584.

The spelling of 13491072 in words is "thirteen million, four hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 239 252 288 294 336 384 392 441 448 478 504 576 588 672 717 784 882 896 956 1008 1152 1176 1344 1434 1568 1673 1764 1912 2016 2151 2352 2688 2868 3136 3346 3528 3824 4032 4302 4704 5019 5736 6272 6692 7056 7648 8064 8604 9408 10038 11472 11711 13384 14112 15057 15296 17208 18816 20076 22944 23422 26768 28224 30114 30592 34416 35133 40152 45888 46844 53536 56448 60228 68832 70266 80304 91776 93688 105399 107072 120456 137664 140532 160608 187376 210798 214144 240912 275328 281064 321216 374752 421596 481824 562128 642432 749504 843192 963648 1124256 1499008 1686384 1927296 2248512 3372768 4497024 6745536 13491072