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1990144 = 2913223
BaseRepresentation
bin111100101111000000000
310202002222001
413211320000
51002141034
6110353344
722626112
oct7457000
93662861
101990144
11113a252
127bb854
13548b00
1439b3b2
15294a14
hex1e5e00

1990144 has 60 divisors (see below), whose sum is σ = 4493016. Its totient is φ = 878592.

The previous prime is 1990141. The next prime is 1990147. The reversal of 1990144 is 4410991.

It is an interprime number because it is at equal distance from previous prime (1990141) and next prime (1990147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86517 + ... + 86539.

21990144 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 1990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246508).

1990144 is an abundant number, since it is smaller than the sum of its proper divisors (2502872).

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

1990144 is an equidigital number, since it uses as much as digits as its factorization.

1990144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1990144 is about 1410.7246364901. The cubic root of 1990144 is about 125.7848010533.

The spelling of 1990144 in words is "one million, nine hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 169 184 208 256 299 338 368 416 512 598 676 736 832 1196 1352 1472 1664 2392 2704 2944 3328 3887 4784 5408 5888 6656 7774 9568 10816 11776 15548 19136 21632 31096 38272 43264 62192 76544 86528 124384 153088 248768 497536 995072 1990144