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1810390428 = 22327112332803
BaseRepresentation
bin110101111101000…
…0101110110011100
311200011120100210100
41223322011312130
512201424443203
6455350541100
762602031130
oct15372056634
94604510710
101810390428
11849a11140
12426367790
1322b0ba552
1413261d3c0
15a8e0bea3
hex6be85d9c

1810390428 has 144 divisors (see below), whose sum is σ = 5732004096. Its totient is φ = 468046080.

The previous prime is 1810390423. The next prime is 1810390441. The reversal of 1810390428 is 8240930181.

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

It is a junction number, because it is equal to n+sod(n) for n = 1810390392 and 1810390401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1810390423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644475 + ... + 647277.

It is an arithmetic number, because the mean of its divisors is an integer number (39805584).

Almost surely, 21810390428 is an apocalyptic number.

1810390428 is a gapful number since it is divisible by the number (18) 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 1810390428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866002048).

1810390428 is an abundant number, since it is smaller than the sum of its proper divisors (3921613668).

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

1810390428 is a wasteful number, since it uses less digits than its factorization.

1810390428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1810390428 is about 42548.6830348484. The cubic root of 1810390428 is about 1218.7765276435.

The spelling of 1810390428 in words is "one billion, eight hundred ten million, three hundred ninety thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 233 252 308 396 462 466 693 699 924 932 1386 1398 1631 2097 2563 2772 2796 2803 3262 4194 4893 5126 5606 6524 7689 8388 8409 9786 10252 11212 14679 15378 16818 17941 19572 19621 23067 25227 29358 30756 30833 33636 35882 39242 46134 50454 53823 58716 58863 61666 71764 78484 92268 92499 100908 107646 117726 123332 161469 176589 184998 215292 215831 235452 277497 322938 353178 369996 431662 554994 645876 647493 653099 706356 863324 1109988 1294986 1306198 1942479 1959297 2589972 2612396 3884958 3918594 4571693 5877891 7184089 7769916 7837188 9143386 11755782 13715079 14368178 18286772 21552267 23511564 27430158 28736356 41145237 43104534 50288623 54860316 64656801 82290474 86209068 100577246 129313602 150865869 164580948 201154492 258627204 301731738 452597607 603463476 905195214 1810390428