[go: up one dir, main page]

Search a number
-
+
18629028 = 2234115227
BaseRepresentation
bin100011100010…
…0000110100100
31022001110020000
41013010012210
514232112103
61503141300
7314226015
oct107040644
938043200
1018629028
11a5742a0
1262a4830
133b233c2
14268d00c
15197eaa3
hex11c41a4

18629028 has 60 divisors (see below), whose sum is σ = 53137392. Its totient is φ = 5644080.

The previous prime is 18629027. The next prime is 18629029. The reversal of 18629028 is 82092681.

18629028 is a `hidden beast` number, since 1 + 8 + 629 + 0 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (18629027) and next prime (18629029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18628983 and 18629001.

It is not an unprimeable number, because it can be changed into a prime (18629027) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 951 + ... + 6177.

Almost surely, 218629028 is an apocalyptic number.

18629028 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 18629028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26568696).

18629028 is an abundant number, since it is smaller than the sum of its proper divisors (34508364).

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

18629028 is a wasteful number, since it uses less digits than its factorization.

18629028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18629028 is about 4316.1357717292. The cubic root of 18629028 is about 265.0920672149.

The spelling of 18629028 in words is "eighteen million, six hundred twenty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 5227 10454 15681 20908 31362 47043 57497 62724 94086 114994 141129 172491 188172 229988 282258 344982 423387 517473 564516 689964 846774 1034946 1552419 1693548 2069892 3104838 4657257 6209676 9314514 18629028