Search a number
-
+
13909434 = 23721121723
BaseRepresentation
bin110101000011…
…110110111010
3222011200011020
4311003312322
512030100214
61214043310
7226141200
oct65036672
928150136
1013909434
117940400
1247a9536
132b60146
141bc1070
15134b4a9
hexd43dba

13909434 has 144 divisors (see below), whose sum is σ = 39299904. Its totient is φ = 3252480.

The previous prime is 13909433. The next prime is 13909439. The reversal of 13909434 is 43490931.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13909395 and 13909404.

It is not an unprimeable number, because it can be changed into a prime (13909433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 604747 + ... + 604769.

It is an arithmetic number, because the mean of its divisors is an integer number (272916).

Almost surely, 213909434 is an apocalyptic number.

13909434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13909434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649952).

13909434 is an abundant number, since it is smaller than the sum of its proper divisors (25390470).

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

13909434 is a wasteful number, since it uses less digits than its factorization.

13909434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 13909434 is about 3729.5353598002. The cubic root of 13909434 is about 240.4933947008.

It can be divided in two parts, 139094 and 34, that added together give a triangular number (139128 = T527).

The spelling of 13909434 in words is "thirteen million, nine hundred nine thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 23 33 34 42 46 49 51 66 69 77 98 102 119 121 138 147 154 161 187 231 238 242 253 294 322 357 363 374 391 462 483 506 539 561 714 726 759 782 833 847 966 1078 1122 1127 1173 1309 1518 1617 1666 1694 1771 2057 2254 2346 2499 2541 2618 2737 2783 3234 3381 3542 3927 4114 4301 4998 5082 5313 5474 5566 5929 6171 6762 7854 8211 8349 8602 9163 10626 11858 12342 12397 12903 14399 16422 16698 17787 18326 19159 19481 24794 25806 27489 28798 30107 35574 37191 38318 38962 43197 47311 54978 57477 58443 60214 74382 86394 90321 94622 100793 114954 116886 136367 141933 180642 201586 210749 272734 283866 302379 331177 409101 421498 604758 632247 662354 818202 993531 1264494 1987062 2318239 4636478 6954717 13909434