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103325472 = 2532358769
BaseRepresentation
bin1100010100010…
…01111100100000
321012102110220100
412022021330200
5202422403342
614130342400
72363152305
oct612117440
9235373810
10103325472
1153362a58
122a72aa00
1318539343
14da190ac
15910ee4c
hex6289f20

103325472 has 36 divisors (see below), whose sum is σ = 293832630. Its totient is φ = 34441728.

The previous prime is 103325459. The next prime is 103325503. The reversal of 103325472 is 274523301.

It can be written as a sum of positive squares in only one way, i.e., 102333456 + 992016 = 10116^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 179097 + ... + 179672.

Almost surely, 2103325472 is an apocalyptic number.

103325472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103325472 is an abundant number, since it is smaller than the sum of its proper divisors (190507158).

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

103325472 is a wasteful number, since it uses less digits than its factorization.

103325472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358785 (or 358774 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 103325472 is about 10164.9137723839. The cubic root of 103325472 is about 469.2480385488.

Adding to 103325472 its reverse (274523301), we get a palindrome (377848773).

The spelling of 103325472 in words is "one hundred three million, three hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 358769 717538 1076307 1435076 2152614 2870152 3228921 4305228 5740304 6457842 8610456 11480608 12915684 17220912 25831368 34441824 51662736 103325472