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106003828 = 2273785851
BaseRepresentation
bin1100101000101…
…11110101110100
321101110112220201
412110113311310
5204114110303
614304010244
72425006030
oct624276564
9241415821
10106003828
1154922277
122b600984
1318c66478
14101151c0
15948d81d
hex6517d74

106003828 has 12 divisors (see below), whose sum is σ = 212007712. Its totient is φ = 45430200.

The previous prime is 106003813. The next prime is 106003861. The reversal of 106003828 is 828300601.

106003828 is an admirable number.

It is a super-2 number, since 2×1060038282 = 22473623101307168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 3785851 = 106003828 / (1 + 0 + 6 + 0 + 0 + 3 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 106003796 and 106003805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1892898 + ... + 1892953.

Almost surely, 2106003828 is an apocalyptic number.

It is an amenable number.

106003828 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106003828 is a wasteful number, since it uses less digits than its factorization.

106003828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785862 (or 3785860 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 106003828 is about 10295.8160434227. The cubic root of 106003828 is about 473.2680460549.

The spelling of 106003828 in words is "one hundred six million, three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 3785851 7571702 15143404 26500957 53001914 106003828