Search a number
-
+
18761028 = 22311132292
BaseRepresentation
bin100011110010…
…0010101000100
31022022011021220
41013210111010
514300323103
61510040340
7315315606
oct107442504
938264256
1018761028
11a654490
1263490b0
133b6b500
1426c5176
1519a8c53
hex11e4544

18761028 has 108 divisors (see below), whose sum is σ = 53556048. Its totient is φ = 5066880.

The previous prime is 18761027. The next prime is 18761063. The reversal of 18761028 is 82016781.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 18761028.

It is not an unprimeable number, because it can be changed into a prime (18761021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 646918 + ... + 646946.

Almost surely, 218761028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18761028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26778024).

18761028 is an abundant number, since it is smaller than the sum of its proper divisors (34795020).

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

18761028 is a wasteful number, since it uses less digits than its factorization.

18761028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 18761028 is about 4331.4002354897. The cubic root of 18761028 is about 265.7167165263.

Multiplying 18761028 by its sum of digits (33), we get a square (619113924 = 248822).

18761028 divided by its sum of digits (33) gives a square (568516 = 7542).

The spelling of 18761028 in words is "eighteen million, seven hundred sixty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 58 66 78 87 116 132 143 156 169 174 286 319 338 348 377 429 507 572 638 676 754 841 858 957 1014 1131 1276 1508 1682 1716 1859 1914 2028 2262 2523 3364 3718 3828 4147 4524 4901 5046 5577 7436 8294 9251 9802 10092 10933 11154 12441 14703 16588 18502 19604 21866 22308 24882 27753 29406 32799 37004 43732 49764 53911 55506 58812 65598 107822 111012 120263 131196 142129 161733 215644 240526 284258 323466 360789 426387 481052 568516 646932 721578 852774 1443156 1563419 1705548 3126838 4690257 6253676 9380514 18761028