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9900036 = 2233312957
BaseRepresentation
bin100101110001…
…000000000100
3200121222022000
4211301000010
510013300121
6552105300
7150102036
oct45610004
920558260
109900036
115652053
123395230
132088213
141459c56
15d08526
hex971004

9900036 has 48 divisors (see below), whose sum is σ = 26503680. Its totient is φ = 3192480.

The previous prime is 9899999. The next prime is 9900047. The reversal of 9900036 is 6300099.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 9899982 and 9900009.

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 in 15 ways as a sum of consecutive naturals, for example, 1870 + ... + 4826.

It is an arithmetic number, because the mean of its divisors is an integer number (552160).

Almost surely, 29900036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9900036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251840).

9900036 is an abundant number, since it is smaller than the sum of its proper divisors (16603644).

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

9900036 is a wasteful number, since it uses less digits than its factorization.

9900036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9900036 is about 3146.4322652808. The cubic root of 9900036 is about 214.7231771718.

The spelling of 9900036 in words is "nine million, nine hundred thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 2957 3348 5914 8871 11828 17742 26613 35484 53226 79839 91667 106452 159678 183334 275001 319356 366668 550002 825003 1100004 1650006 2475009 3300012 4950018 9900036