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102043424 = 257412271
BaseRepresentation
bin1100001010100…
…00111100100000
321010000100021002
412011100330200
5202110342144
614043051132
72346232460
oct605207440
9233010232
10102043424
115266780a
122a210aa8
13181aa932
14d7a3ba0
158e5a14e
hex6150f20

102043424 has 72 divisors (see below), whose sum is σ = 236202624. Its totient is φ = 42508800.

The previous prime is 102043421. The next prime is 102043441. The reversal of 102043424 is 424340201.

It is a junction number, because it is equal to n+sod(n) for n = 102043396 and 102043405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102043421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376409 + ... + 376679.

It is an arithmetic number, because the mean of its divisors is an integer number (3280592).

Almost surely, 2102043424 is an apocalyptic number.

102043424 is a gapful number since it is divisible by the number (14) 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 102043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118101312).

102043424 is an abundant number, since it is smaller than the sum of its proper divisors (134159200).

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

102043424 is an equidigital number, since it uses as much as digits as its factorization.

102043424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 321 counting only the distinct ones).

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

The square root of 102043424 is about 10101.6545179490. The cubic root of 102043424 is about 467.2991677432.

Adding to 102043424 its reverse (424340201), we get a palindrome (526383625).

It can be divided in two parts, 1020 and 43424, that added together give a palindrome (44444).

The spelling of 102043424 in words is "one hundred two million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 271 287 328 542 574 656 1084 1148 1312 1681 1897 2168 2296 3362 3794 4336 4592 6724 7588 8672 9184 11111 11767 13448 15176 22222 23534 26896 30352 44444 47068 53792 60704 77777 88888 94136 155554 177776 188272 311108 355552 376544 455551 622216 911102 1244432 1822204 2488864 3188857 3644408 6377714 7288816 12755428 14577632 25510856 51021712 102043424