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101916928 = 28398113
BaseRepresentation
bin1100001001100…
…10000100000000
321002202220202001
412010302010000
5202042320203
614040233344
72345164621
oct604620400
9232686661
10101916928
1152590773
122a16b854
1318165199
14d76da48
158e3291d
hex6132100

101916928 has 18 divisors (see below), whose sum is σ = 203436254. Its totient is φ = 50958336.

The previous prime is 101916851. The next prime is 101916953. The reversal of 101916928 is 829619101.

It can be written as a sum of positive squares in only one way, i.e., 97456384 + 4460544 = 9872^2 + 2112^2 .

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 198801 + ... + 199312.

Almost surely, 2101916928 is an apocalyptic number.

It is an amenable number.

101916928 is a deficient number, since it is larger than the sum of its proper divisors (101519326).

101916928 is an frugal number, since it uses more digits than its factorization.

101916928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398129 (or 398115 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 37.

The square root of 101916928 is about 10095.3914238131. The cubic root of 101916928 is about 467.1059953483.

The spelling of 101916928 in words is "one hundred one million, nine hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 398113 796226 1592452 3184904 6369808 12739616 25479232 50958464 101916928