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102542132 = 227115772
BaseRepresentation
bin1100001110010…
…10101100110100
321010221200100202
412013022230310
5202222322012
614101500032
72353410440
oct607125464
9233850322
10102542132
1152978470
122a411618
1318323924
14d893820
159007cc2
hex61cab34

102542132 has 36 divisors (see below), whose sum is σ = 224116704. Its totient is φ = 39882240.

The previous prime is 102542131. The next prime is 102542161. The reversal of 102542132 is 231245201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102542131) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 177428 + ... + 178004.

It is an arithmetic number, because the mean of its divisors is an integer number (6225464).

Almost surely, 2102542132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102542132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112058352).

102542132 is an abundant number, since it is smaller than the sum of its proper divisors (121574572).

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

102542132 is an equidigital number, since it uses as much as digits as its factorization.

102542132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 102542132 is about 10126.3089030505. The cubic root of 102542132 is about 468.0591945482.

Adding to 102542132 its reverse (231245201), we get a palindrome (333787333).

The spelling of 102542132 in words is "one hundred two million, five hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 577 1154 2308 4039 6347 8078 12694 16156 25388 44429 88858 177716 332929 665858 1331716 2330503 3662219 4661006 7324438 9322012 14648876 25635533 51271066 102542132