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13930410 = 23513231553
BaseRepresentation
bin110101001000…
…111110101010
3222012201221010
4311020332222
512031233120
61214324350
7226256304
oct65107652
928181833
1013930410
11795513a
1247b96b6
132b69860
141bc8974
1513527e0
hexd48faa

13930410 has 64 divisors (see below), whose sum is σ = 37594368. Its totient is φ = 3277824.

The previous prime is 13930393. The next prime is 13930417. The reversal of 13930410 is 1403931.

It is not an unprimeable number, because it can be changed into a prime (13930417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8194 + ... + 9746.

It is an arithmetic number, because the mean of its divisors is an integer number (587412).

Almost surely, 213930410 is an apocalyptic number.

13930410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13930410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797184).

13930410 is an abundant number, since it is smaller than the sum of its proper divisors (23663958).

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

13930410 is a wasteful number, since it uses less digits than its factorization.

13930410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 13930410 is about 3732.3464469419. The cubic root of 13930410 is about 240.6142253004.

The spelling of 13930410 in words is "thirteen million, nine hundred thirty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1553 1794 2990 3106 4485 4659 7765 8970 9318 15530 20189 23295 35719 40378 46590 60567 71438 100945 107157 121134 178595 201890 214314 302835 357190 464347 535785 605670 928694 1071570 1393041 2321735 2786082 4643470 6965205 13930410