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9900144 = 24347639
BaseRepresentation
bin100101110001…
…000001110000
3200121222110000
4211301001300
510013301034
6552110000
7150102252
oct45610160
920558400
109900144
115652141
123395300
132088297
141459cd2
15d08599
hex971070

9900144 has 50 divisors (see below), whose sum is σ = 28657640. Its totient is φ = 3299616.

The previous prime is 9900139. The next prime is 9900161. The reversal of 9900144 is 4410099.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2524 + ... + 5115.

Almost surely, 29900144 is an apocalyptic number.

It is an amenable number.

9900144 is an abundant number, since it is smaller than the sum of its proper divisors (18757496).

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

9900144 is a wasteful number, since it uses less digits than its factorization.

9900144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7659 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9900144 is about 3146.4494275294. The cubic root of 9900144 is about 214.7239579777.

The spelling of 9900144 in words is "nine million, nine hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 7639 15278 22917 30556 45834 61112 68751 91668 122224 137502 183336 206253 275004 366672 412506 550008 618759 825012 1100016 1237518 1650024 2475036 3300048 4950072 9900144