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13981032 = 2333132383
BaseRepresentation
bin110101010101…
…010101101000
3222022022101000
4311111111220
512034343112
61215355000
7226560012
oct65252550
928268330
1013981032
11798a17a
124822a60
132b86900
141bdd1b2
1513627dc
hexd55568

13981032 has 96 divisors (see below), whose sum is σ = 42163200. Its totient is φ = 4290624.

The previous prime is 13981027. The next prime is 13981111. The reversal of 13981032 is 23018931.

13981032 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 13980987 and 13981005.

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, 36313 + ... + 36695.

It is an arithmetic number, because the mean of its divisors is an integer number (439200).

Almost surely, 213981032 is an apocalyptic number.

13981032 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 13981032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21081600).

13981032 is an abundant number, since it is smaller than the sum of its proper divisors (28182168).

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

13981032 is a wasteful number, since it uses less digits than its factorization.

13981032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13981032 is about 3739.1218220325. The cubic root of 13981032 is about 240.9053306079.

Adding to 13981032 its reverse (23018931), we get a palindrome (36999963).

The spelling of 13981032 in words is "thirteen million, nine hundred eighty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 383 468 507 676 702 766 936 1014 1149 1352 1404 1521 1532 2028 2298 2808 3042 3064 3447 4056 4563 4596 4979 6084 6894 9126 9192 9958 10341 12168 13788 14937 18252 19916 20682 27576 29874 36504 39832 41364 44811 59748 64727 82728 89622 119496 129454 134433 179244 194181 258908 268866 358488 388362 517816 537732 582543 776724 1075464 1165086 1553448 1747629 2330172 3495258 4660344 6990516 13981032