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102772 = 2225693
BaseRepresentation
bin11001000101110100
312012222101
4121011310
511242042
62111444
7605425
oct310564
9165871
10102772
117023a
124b584
1337a17
142964c
15206b7
hex19174

102772 has 6 divisors (see below), whose sum is σ = 179858. Its totient is φ = 51384.

The previous prime is 102769. The next prime is 102793. The reversal of 102772 is 277201.

It can be written as a sum of positive squares in only one way, i.e., 99856 + 2916 = 316^2 + 54^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12843 + ... + 12850.

2102772 is an apocalyptic number.

It is an amenable number.

102772 is a deficient number, since it is larger than the sum of its proper divisors (77086).

102772 is a wasteful number, since it uses less digits than its factorization.

102772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25697 (or 25695 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 102772 is about 320.5807230636. The cubic root of 102772 is about 46.8408681902.

Adding to 102772 its reverse (277201), we get a palindrome (379973).

The spelling of 102772 in words is "one hundred two thousand, seven hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 4 25693 51386 102772