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20042190 = 23257291097
BaseRepresentation
bin100110001110…
…1000111001110
31101201020201100
41030131013032
520112322230
61553323530
7332233020
oct114350716
941636640
1020042190
1110349aa3
1268665a6
1341c96ac
14293a010
151b5d660
hex131d1ce

20042190 has 96 divisors (see below), whose sum is σ = 61663680. Its totient is φ = 4419072.

The previous prime is 20042173. The next prime is 20042249. The reversal of 20042190 is 9124002.

It is a super-2 number, since 2×200421902 = 803378759992200, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17722 + ... + 18818.

It is an arithmetic number, because the mean of its divisors is an integer number (642330).

Almost surely, 220042190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20042190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30831840).

20042190 is an abundant number, since it is smaller than the sum of its proper divisors (41621490).

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

20042190 is a wasteful number, since it uses less digits than its factorization.

20042190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20042190 is about 4476.8504553983. The cubic root of 20042190 is about 271.6324964027.

Adding to 20042190 its reverse (9124002), we get a palindrome (29166192).

The spelling of 20042190 in words is "twenty million, forty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 870 1015 1097 1218 1305 1827 2030 2194 2610 3045 3291 3654 5485 6090 6582 7679 9135 9873 10970 15358 16455 18270 19746 23037 31813 32910 38395 46074 49365 63626 69111 76790 95439 98730 115185 138222 159065 190878 222691 230370 286317 318130 345555 445382 477195 572634 668073 691110 954390 1113455 1336146 1431585 2004219 2226910 2863170 3340365 4008438 6680730 10021095 20042190