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18113424 = 2437313747
BaseRepresentation
bin100010100011…
…0001110010000
31021002020221120
41011012032100
514114112144
61444122240
7306650550
oct105061620
937066846
1018113424
11a25197a
126096380
1339a2804
142597160
1518cbe19
hex1146390

18113424 has 160 divisors (see below), whose sum is σ = 57901056. Its totient is φ = 4769280.

The previous prime is 18113423. The next prime is 18113437. The reversal of 18113424 is 42431181.

It is a super-2 number, since 2×181134242 = 656192258007552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 18113394 and 18113403.

It is not an unprimeable number, because it can be changed into a prime (18113423) 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, 385369 + ... + 385415.

Almost surely, 218113424 is an apocalyptic number.

18113424 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 18113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28950528).

18113424 is an abundant number, since it is smaller than the sum of its proper divisors (39787632).

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

18113424 is a wasteful number, since it uses less digits than its factorization.

18113424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 18113424 is about 4255.9868420849. The cubic root of 18113424 is about 262.6234593856.

The spelling of 18113424 in words is "eighteen million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 37 42 47 48 56 62 74 84 93 94 111 112 124 141 148 168 186 188 217 222 248 259 282 296 329 336 372 376 434 444 496 518 564 592 651 658 744 752 777 868 888 987 1036 1128 1147 1302 1316 1457 1488 1554 1736 1739 1776 1974 2072 2256 2294 2604 2632 2914 3108 3441 3472 3478 3948 4144 4371 4588 5208 5217 5264 5828 6216 6882 6956 7896 8029 8742 9176 10199 10416 10434 11656 12173 12432 13764 13912 15792 16058 17484 18352 20398 20868 23312 24087 24346 27528 27824 30597 32116 34968 36519 40796 41736 48174 48692 53909 55056 61194 64232 69936 73038 81592 83472 96348 97384 107818 122388 128464 146076 161727 163184 192696 194768 215636 244776 292152 323454 377363 385392 431272 489552 584304 646908 754726 862544 1132089 1293816 1509452 2264178 2587632 3018904 4528356 6037808 9056712 18113424