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18138432 = 26313343
BaseRepresentation
bin100010100110…
…0010101000000
31021010112020210
41011030111000
514120412212
61444434120
7310113504
oct105142500
937115223
1018138432
11a269744
1260a8940
1339b1000
1425a2304
1518d453c
hex114c540

18138432 has 112 divisors (see below), whose sum is σ = 53197760. Its totient is φ = 5451264.

The previous prime is 18138409. The next prime is 18138437. The reversal of 18138432 is 23483181.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18138432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18138437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421803 + ... + 421845.

It is an arithmetic number, because the mean of its divisors is an integer number (474980).

Almost surely, 218138432 is an apocalyptic number.

18138432 is a gapful number since it is divisible by the number (12) 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 18138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598880).

18138432 is an abundant number, since it is smaller than the sum of its proper divisors (35059328).

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

18138432 is an equidigital number, since it uses as much as digits as its factorization.

18138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 18138432 is about 4258.9238077242. The cubic root of 18138432 is about 262.7442660548.

The spelling of 18138432 in words is "eighteen million, one hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 129 156 169 172 192 208 258 312 338 344 416 507 516 559 624 676 688 832 1014 1032 1118 1248 1352 1376 1677 2028 2064 2197 2236 2496 2704 2752 3354 4056 4128 4394 4472 5408 6591 6708 7267 8112 8256 8788 8944 10816 13182 13416 14534 16224 17576 17888 21801 26364 26832 29068 32448 35152 35776 43602 52728 53664 58136 70304 87204 94471 105456 107328 116272 140608 174408 188942 210912 232544 283413 348816 377884 421824 465088 566826 697632 755768 1133652 1395264 1511536 2267304 3023072 4534608 6046144 9069216 18138432