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101730848 = 2517832
BaseRepresentation
bin1100001000001…
…00101000100000
321002102110111012
412010010220200
5202020341343
614032240052
72343461252
oct604045040
9232373435
10101730848
115247398a
122a0a0028
13180cb58b
14d721cd2
158de7718
hex6104a20

101730848 has 18 divisors (see below), whose sum is σ = 200394999. Its totient is φ = 50836896.

The previous prime is 101730847. The next prime is 101730851. The reversal of 101730848 is 848037101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 50865424 + 50865424 = 7132^2 + 7132^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7132.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101730841) 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 2 ways as a sum of consecutive naturals, for example, 56165 + ... + 57947.

Almost surely, 2101730848 is an apocalyptic number.

It is an amenable number.

101730848 is a deficient number, since it is larger than the sum of its proper divisors (98664151).

101730848 is an frugal number, since it uses more digits than its factorization.

101730848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 101730848 is about 10086.1711268449. The cubic root of 101730848 is about 466.8215413392.

Multiplying 101730848 by its sum of digits (32), we get a square (3255387136 = 570562).

101730848 divided by its sum of digits (32) gives a square (3179089 = 17832).

Adding to 101730848 its reverse (848037101), we get a palindrome (949767949).

The spelling of 101730848 in words is "one hundred one million, seven hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 1783 3566 7132 14264 28528 57056 3179089 6358178 12716356 25432712 50865424 101730848