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102830420 = 22572119539
BaseRepresentation
bin1100010000100…
…01000101010100
321011111022211002
412020101011110
5202311033140
614112002432
72356021100
oct610210524
9234438732
10102830420
1153055020
122a530418
13183c4c04
14d92a900
159063415
hex6211154

102830420 has 72 divisors (see below), whose sum is σ = 274065120. Its totient is φ = 32047680.

The previous prime is 102830411. The next prime is 102830459. The reversal of 102830420 is 24038201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102830392 and 102830401.

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, 6011 + ... + 15549.

It is an arithmetic number, because the mean of its divisors is an integer number (3806460).

Almost surely, 2102830420 is an apocalyptic number.

102830420 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 102830420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137032560).

102830420 is an abundant number, since it is smaller than the sum of its proper divisors (171234700).

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

102830420 is a wasteful number, since it uses less digits than its factorization.

102830420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9573 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 102830420 is about 10140.5335165365. The cubic root of 102830420 is about 468.4974195986.

Adding to 102830420 its reverse (24038201), we get a palindrome (126868621).

The spelling of 102830420 in words is "one hundred two million, eight hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 9539 10780 19078 38156 47695 66773 95390 104929 133546 190780 209858 267092 333865 419716 467411 524645 667730 734503 934822 1049290 1335460 1469006 1869644 2098580 2337055 2938012 3672515 4674110 5141521 7345030 9348220 10283042 14690060 20566084 25707605 51415210 102830420