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103953072 = 2434874447
BaseRepresentation
bin1100011001000…
…11001010110000
321020121100210210
412030203022300
5203102444242
614152024120
72401405116
oct614431260
9236540723
10103953072
1153751533
122a992040
13186c8bc2
14db3dab6
1591d5d9c
hex63232b0

103953072 has 40 divisors (see below), whose sum is σ = 269157376. Its totient is φ = 34572096.

The previous prime is 103953053. The next prime is 103953097. The reversal of 103953072 is 270359301.

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 in 7 ways as a sum of consecutive naturals, for example, 21153 + ... + 25599.

Almost surely, 2103953072 is an apocalyptic number.

103953072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103953072 is an abundant number, since it is smaller than the sum of its proper divisors (165204304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103953072 is a wasteful number, since it uses less digits than its factorization.

103953072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 103953072 is about 10195.7379330777. The cubic root of 103953072 is about 470.1961939319.

The spelling of 103953072 in words is "one hundred three million, nine hundred fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 487 974 1461 1948 2922 3896 4447 5844 7792 8894 11688 13341 17788 23376 26682 35576 53364 71152 106728 213456 2165689 4331378 6497067 8662756 12994134 17325512 25988268 34651024 51976536 103953072