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102464 = 261601
BaseRepresentation
bin11001000001000000
312012112222
4121001000
511234324
62110212
7604505
oct310100
9165488
10102464
116aa8a
124b368
133783b
14294ac
152055e
hex19040

102464 has 14 divisors (see below), whose sum is σ = 203454. Its totient is φ = 51200.

The previous prime is 102461. The next prime is 102481. The reversal of 102464 is 464201.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 64 = 320^2 + 8^2 .

It is not an unprimeable number, because it can be changed into a prime (102461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 737 + ... + 864.

102464 is a Friedman number, since it can be written as 64*(40^2+1), using all its digits and the basic arithmetic operations.

2102464 is an apocalyptic number.

It is an amenable number.

102464 is a deficient number, since it is larger than the sum of its proper divisors (100990).

102464 is an equidigital number, since it uses as much as digits as its factorization.

102464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 102464 is about 320.0999843799. The cubic root of 102464 is about 46.7940285073.

Adding to 102464 its reverse (464201), we get a palindrome (566665).

It can be divided in two parts, 1024 and 64, that multiplied together give a 16-th power (65536 = 216).

The spelling of 102464 in words is "one hundred two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 1601 3202 6404 12808 25616 51232 102464