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190008 = 233271329
BaseRepresentation
bin101110011000111000
3100122122100
4232120320
522040013
64023400
71420650
oct563070
9318570
10190008
1111a835
1291b60
1368640
144d360
153b473
hex2e638

190008 has 96 divisors (see below), whose sum is σ = 655200. Its totient is φ = 48384.

The previous prime is 189997. The next prime is 190027. The reversal of 190008 is 800091.

Adding to 190008 its reverse (800091), we get a palindrome (990099).

It can be divided in two parts, 1 and 90008, that added together give a palindrome (90009).

190008 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1900082 = 72206080128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6538 + ... + 6566.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

2190008 is an apocalyptic number.

190008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

190008 is the 252-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327600).

190008 is an abundant number, since it is smaller than the sum of its proper divisors (465192).

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

190008 is a wasteful number, since it uses less digits than its factorization.

190008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 190008 is about 435.8990708868. The cubic root of 190008 is about 57.4897776409.

The spelling of 190008 in words is "one hundred ninety thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 29 36 39 42 52 56 58 63 72 78 84 87 91 104 116 117 126 156 168 174 182 203 232 234 252 261 273 312 348 364 377 406 468 504 522 546 609 696 728 754 812 819 936 1044 1092 1131 1218 1508 1624 1638 1827 2088 2184 2262 2436 2639 3016 3276 3393 3654 4524 4872 5278 6552 6786 7308 7917 9048 10556 13572 14616 15834 21112 23751 27144 31668 47502 63336 95004 190008