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102429 = 3219599
BaseRepresentation
bin11001000000011101
312012111200
4121000131
511234204
62110113
7604425
oct310035
9165450
10102429
116aa58
124b339
1337812
1429485
1520539
hex1901d

102429 has 12 divisors (see below), whose sum is σ = 156000. Its totient is φ = 64584.

The previous prime is 102409. The next prime is 102433. The reversal of 102429 is 924201.

It is not a de Polignac number, because 102429 - 25 = 102397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (13000).

2102429 is an apocalyptic number.

102429 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

102429 is a deficient number, since it is larger than the sum of its proper divisors (53571).

102429 is a wasteful number, since it uses less digits than its factorization.

102429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102429 is about 320.0453092923. The cubic root of 102429 is about 46.7886998797.

The spelling of 102429 in words is "one hundred two thousand, four hundred twenty-nine".

Divisors: 1 3 9 19 57 171 599 1797 5391 11381 34143 102429