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13348940 = 22511471291
BaseRepresentation
bin110010111011…
…000001001100
3221010012022012
4302323001030
511404131230
61154040352
7221315123
oct62730114
927105265
1013348940
117598290
1245790b8
1329c4ca7
141ab6aba
15128a395
hexcbb04c

13348940 has 48 divisors (see below), whose sum is σ = 31256064. Its totient is φ = 4747200.

The previous prime is 13348939. The next prime is 13348943. The reversal of 13348940 is 4984331.

It is a junction number, because it is equal to n+sod(n) for n = 13348897 and 13348906.

It is not an unprimeable number, because it can be changed into a prime (13348943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9695 + ... + 10985.

It is an arithmetic number, because the mean of its divisors is an integer number (651168).

Almost surely, 213348940 is an apocalyptic number.

13348940 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 13348940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032).

13348940 is an abundant number, since it is smaller than the sum of its proper divisors (17907124).

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

13348940 is a wasteful number, since it uses less digits than its factorization.

13348940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 13348940 is about 3653.6201225634. The cubic root of 13348940 is about 237.2187029720.

The spelling of 13348940 in words is "thirteen million, three hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 1291 2068 2582 2585 5164 5170 6455 10340 12910 14201 25820 28402 56804 60677 71005 121354 142010 242708 284020 303385 606770 667447 1213540 1334894 2669788 3337235 6674470 13348940