Search a number
-
+
18950646 = 23111321699
BaseRepresentation
bin100100001001…
…0100111110110
31022122210101210
41020102213312
514322410041
61514102250
7320035461
oct110224766
938583353
1018950646
11a7739a0
12641a986
133c06900
1427342d8
1519e5016
hex12129f6

18950646 has 48 divisors (see below), whose sum is σ = 44798400. Its totient is φ = 5297760.

The previous prime is 18950629. The next prime is 18950647. The reversal of 18950646 is 64605981.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18950647) 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, 10305 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (933300).

Almost surely, 218950646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18950646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22399200).

18950646 is an abundant number, since it is smaller than the sum of its proper divisors (25847754).

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

18950646 is a wasteful number, since it uses less digits than its factorization.

18950646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 18950646 is about 4353.2339702800. The cubic root of 18950646 is about 266.6089183979.

It can be divided in two parts, 1895064 and 6, that multiplied together give a square (11370384 = 33722).

The spelling of 18950646 in words is "eighteen million, nine hundred fifty thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1699 1859 3398 3718 5097 5577 10194 11154 18689 22087 37378 44174 56067 66261 112134 132522 242957 287131 485914 574262 728871 861393 1457742 1722786 3158441 6316882 9475323 18950646