Search a number
-
+
20840190192 = 2433297392251
BaseRepresentation
bin10011011010001011…
…000001000011110000
31222210101111100112000
4103122023001003300
5320140042041232
613323541334000
71335303456663
oct233213010360
958711440460
1020840190192
118924820388
124057407300
131c7178cab3
141019b136da
1581e8d127c
hex4da2c10f0

20840190192 has 160 divisors (see below), whose sum is σ = 61993056000. Its totient is φ = 6695136000.

The previous prime is 20840190187. The next prime is 20840190211. The reversal of 20840190192 is 29109104802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9257067 + ... + 9259317.

It is an arithmetic number, because the mean of its divisors is an integer number (387456600).

Almost surely, 220840190192 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 20840190192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30996528000).

20840190192 is an abundant number, since it is smaller than the sum of its proper divisors (41152865808).

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

20840190192 is a wasteful number, since it uses less digits than its factorization.

20840190192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 20840190192 its reverse (29109104802), we get a palindrome (49949294994).

The spelling of 20840190192 in words is "twenty billion, eight hundred forty million, one hundred ninety thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 739 783 1044 1392 1478 1566 2088 2217 2251 2956 3132 4176 4434 4502 5912 6264 6651 6753 8868 9004 11824 12528 13302 13506 17736 18008 19953 20259 21431 26604 27012 35472 36016 39906 40518 42862 53208 54024 60777 64293 65279 79812 81036 85724 106416 108048 121554 128586 130558 159624 162072 171448 192879 195837 243108 257172 261116 319248 324144 342896 385758 391674 486216 514344 522232 578637 587511 771516 783348 972432 1028688 1044464 1157274 1175022 1543032 1566696 1663489 1762533 2314548 2350044 3086064 3133392 3326978 3525066 4629096 4700088 4990467 6653956 7050132 9258192 9400176 9980934 13307912 14100264 14971401 19961868 26615824 28200528 29942802 39923736 44914203 48241181 59885604 79847472 89828406 96482362 119771208 144723543 179656812 192964724 239542416 289447086 359313624 385929448 434170629 578894172 718627248 771858896 868341258 1157788344 1302511887 1736682516 2315576688 2605023774 3473365032 5210047548 6946730064 10420095096 20840190192