Search a number
-
+
18991728 = 2432783227
BaseRepresentation
bin100100001110…
…0101001110000
31022201212202100
41020130221300
514330213403
61515020400
7320266320
oct110345160
938655670
1018991728
11a7a1848
12643a700
133c1c512
142745280
151a022a3
hex121ca70

18991728 has 120 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 5337216.

The previous prime is 18991711. The next prime is 18991729. The reversal of 18991728 is 82719981.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18991729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83551 + ... + 83777.

Almost surely, 218991728 is an apocalyptic number.

18991728 is a gapful number since it is divisible by the number (18) 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 18991728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

18991728 is an abundant number, since it is smaller than the sum of its proper divisors (42754320).

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

18991728 is a wasteful number, since it uses less digits than its factorization.

18991728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 18991728 is about 4357.9499767666. The cubic root of 18991728 is about 266.8014346573.

The spelling of 18991728 in words is "eighteen million, nine hundred ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 227 249 252 332 336 454 498 504 581 664 681 747 908 996 1008 1162 1328 1362 1494 1589 1743 1816 1992 2043 2324 2724 2988 3178 3486 3632 3984 4086 4648 4767 5229 5448 5976 6356 6972 8172 9296 9534 10458 10896 11952 12712 13944 14301 16344 18841 19068 20916 25424 27888 28602 32688 37682 38136 41832 56523 57204 75364 76272 83664 113046 114408 131887 150728 169569 226092 228816 263774 301456 339138 395661 452184 527548 678276 791322 904368 1055096 1186983 1356552 1582644 2110192 2373966 2713104 3165288 4747932 6330576 9495864 18991728