Search a number
-
+
102443420 = 22541271461
BaseRepresentation
bin1100001101100…
…10100110011100
321010202122221202
412012302212130
5202211142140
614055415032
72352516602
oct606624634
9233678852
10102443420
1152910292
122a384478
13182baa11
14d869872
158ed8915
hex61b299c

102443420 has 48 divisors (see below), whose sum is σ = 221671296. Its totient is φ = 39744000.

The previous prime is 102443401. The next prime is 102443431. The reversal of 102443420 is 24344201.

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 = 102443392 and 102443401.

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 15 ways as a sum of consecutive naturals, for example, 221990 + ... + 222450.

It is an arithmetic number, because the mean of its divisors is an integer number (4618152).

Almost surely, 2102443420 is an apocalyptic number.

102443420 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 102443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110835648).

102443420 is an abundant number, since it is smaller than the sum of its proper divisors (119227876).

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

102443420 is a wasteful number, since it uses less digits than its factorization.

102443420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 102443420 is about 10121.4336929113. The cubic root of 102443420 is about 467.9089542128.

Adding to 102443420 its reverse (24344201), we get a palindrome (126787621).

It can be divided in two parts, 1024 and 43420, that added together give a palindrome (44444).

The spelling of 102443420 in words is "one hundred two million, four hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 461 542 820 922 1084 1355 1844 2305 2710 4610 5420 9220 11111 18901 22222 37802 44444 55555 75604 94505 111110 124931 189010 222220 249862 378020 499724 624655 1249310 2498620 5122171 10244342 20488684 25610855 51221710 102443420