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13913424 = 2433743107
BaseRepresentation
bin110101000100…
…110101010000
3222011212122000
4311010311100
512030212144
61214114000
7226155630
oct65046520
928155560
1013913424
1179433a8
1247ab900
132b61bc5
141bc26c0
15134c769
hexd44d50

13913424 has 160 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 3846528.

The previous prime is 13913423. The next prime is 13913437. The reversal of 13913424 is 42431931.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2592) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13913423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129979 + ... + 130085.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 213913424 is an apocalyptic number.

13913424 is a gapful number since it is divisible by the number (14) 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 13913424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

13913424 is an abundant number, since it is smaller than the sum of its proper divisors (33226416).

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

13913424 is a wasteful number, since it uses less digits than its factorization.

13913424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13913424 is about 3730.0702406255. The cubic root of 13913424 is about 240.5163881335.

The spelling of 13913424 in words is "thirteen million, nine hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 43 48 54 56 63 72 84 86 107 108 112 126 129 144 168 172 189 214 216 252 258 301 321 336 344 378 387 428 432 504 516 602 642 688 749 756 774 856 903 963 1008 1032 1161 1204 1284 1498 1512 1548 1712 1806 1926 2064 2247 2322 2408 2568 2709 2889 2996 3024 3096 3612 3852 4494 4601 4644 4816 5136 5418 5778 5992 6192 6741 7224 7704 8127 8988 9202 9288 10836 11556 11984 13482 13803 14448 15408 16254 17976 18404 18576 20223 21672 23112 26964 27606 32207 32508 35952 36808 40446 41409 43344 46224 53928 55212 64414 65016 73616 80892 82818 96621 107856 110424 124227 128828 130032 161784 165636 193242 220848 248454 257656 289863 323568 331272 386484 496908 515312 579726 662544 772968 869589 993816 1159452 1545936 1739178 1987632 2318904 3478356 4637808 6956712 13913424