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13129452 = 223472827
BaseRepresentation
bin110010000101…
…011011101100
3220201001020000
4302011123230
511330120302
61145224300
7216412200
oct62053354
926631200
1013129452
117458396
124492090
13294910b
141a5ab00
15124531c
hexc856ec

13129452 has 90 divisors (see below), whose sum is σ = 39975012. Its totient is φ = 3746736.

The previous prime is 13129427. The next prime is 13129463. The reversal of 13129452 is 25492131.

13129452 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15463 + ... + 16289.

Almost surely, 213129452 is an apocalyptic number.

13129452 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 13129452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987506).

13129452 is an abundant number, since it is smaller than the sum of its proper divisors (26845560).

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

13129452 is a wasteful number, since it uses less digits than its factorization.

13129452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 839 counting only the distinct ones).

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

The square root of 13129452 is about 3623.4585688262. The cubic root of 13129452 is about 235.9113666975.

The spelling of 13129452 in words is "thirteen million, one hundred twenty-nine thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 827 882 1134 1323 1654 1764 2268 2481 2646 3308 3969 4962 5292 5789 7443 7938 9924 11578 14886 15876 17367 22329 23156 29772 34734 40523 44658 52101 66987 69468 81046 89316 104202 121569 133974 156303 162092 208404 243138 267948 312606 364707 468909 486276 625212 729414 937818 1094121 1458828 1875636 2188242 3282363 4376484 6564726 13129452