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102732416 = 27802597
BaseRepresentation
bin1100001111110…
…01001010000000
321011022100101022
412013321022000
5202244414131
614105525012
72355132263
oct607711200
9234270338
10102732416
1152a98426
122a4a3768
131838c417
14d902cda
15904437b
hex61f9280

102732416 has 16 divisors (see below), whose sum is σ = 204662490. Its totient is φ = 51366144.

The previous prime is 102732407. The next prime is 102732431. The reversal of 102732416 is 614237201.

It can be written as a sum of positive squares in only one way, i.e., 82446400 + 20286016 = 9080^2 + 4504^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401171 + ... + 401426.

Almost surely, 2102732416 is an apocalyptic number.

102732416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102732416 is a deficient number, since it is larger than the sum of its proper divisors (101930074).

102732416 is an frugal number, since it uses more digits than its factorization.

102732416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802611 (or 802599 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 102732416 is about 10135.7000744892. The cubic root of 102732416 is about 468.3485362384.

Adding to 102732416 its reverse (614237201), we get a palindrome (716969617).

The spelling of 102732416 in words is "one hundred two million, seven hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 802597 1605194 3210388 6420776 12841552 25683104 51366208 102732416