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102424 = 2373159
BaseRepresentation
bin11001000000011000
312012111111
4121000120
511234144
62110104
7604420
oct310030
9165444
10102424
116aa53
124b334
133780a
1429480
1520534
hex19018

102424 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 41760.

The previous prime is 102409. The next prime is 102433. The reversal of 102424 is 424201.

Adding to 102424 its reverse (424201), we get a palindrome (526625).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1707 + ... + 1765.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2102424 is an apocalyptic number.

102424 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 102424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

102424 is an abundant number, since it is smaller than the sum of its proper divisors (127976).

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

102424 is a wasteful number, since it uses less digits than its factorization.

102424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 102424 is about 320.0374978030. The cubic root of 102424 is about 46.7879385481.

The spelling of 102424 in words is "one hundred two thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 28 31 56 59 62 118 124 217 236 248 413 434 472 826 868 1652 1736 1829 3304 3658 7316 12803 14632 25606 51212 102424