Search a number
-
+
18830020 = 22511231251
BaseRepresentation
bin100011111010…
…1001011000100
31022102122221011
41013311023010
514310030040
61511332004
7316024006
oct107651304
938378834
1018830020
11a6a1300
126381004
133b93a31
142702376
1519be3ea
hex11f52c4

18830020 has 72 divisors (see below), whose sum is σ = 45045504. Its totient is φ = 6600000.

The previous prime is 18829919. The next prime is 18830023. The reversal of 18830020 is 2003881.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 18829973 and 18830000.

It is not an unprimeable number, because it can be changed into a prime (18830023) 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, 74895 + ... + 75145.

It is an arithmetic number, because the mean of its divisors is an integer number (625632).

Almost surely, 218830020 is an apocalyptic number.

18830020 is a gapful number since it is divisible by the number (10) 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 18830020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522752).

18830020 is an abundant number, since it is smaller than the sum of its proper divisors (26215484).

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

18830020 is a wasteful number, since it uses less digits than its factorization.

18830020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 18830020 is about 4339.3570952389. The cubic root of 18830020 is about 266.0420345504.

It can be divided in two parts, 18 and 830020, that added together give a palindrome (830038).

The spelling of 18830020 in words is "eighteen million, eight hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 251 310 341 484 502 605 620 682 1004 1210 1255 1364 1705 2420 2510 2761 3410 3751 5020 5522 6820 7502 7781 11044 13805 15004 15562 18755 27610 30371 31124 37510 38905 55220 60742 75020 77810 85591 121484 151855 155620 171182 303710 342364 427955 607420 855910 941501 1711820 1883002 3766004 4707505 9415010 18830020