Search a number
-
+
1999872 = 21032731
BaseRepresentation
bin111101000010000000000
310202121022100
413220100000
51002443442
6110510400
722666350
oct7502000
93677270
101999872
111146596
12805400
13550374
143a0b60
1529784c
hex1e8400

1999872 has 132 divisors (see below), whose sum is σ = 6812416. Its totient is φ = 552960.

The previous prime is 1999871. The next prime is 1999889. The reversal of 1999872 is 2789991.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1999871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64497 + ... + 64527.

21999872 is an apocalyptic number.

1999872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1999872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406208).

1999872 is an abundant number, since it is smaller than the sum of its proper divisors (4812544).

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

1999872 is a wasteful number, since it uses less digits than its factorization.

1999872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 43 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 1999872 is about 1414.1683068150. The cubic root of 1999872 is about 125.9894171006.

The spelling of 1999872 in words is "one million, nine hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 64 72 84 93 96 112 124 126 128 144 168 186 192 217 224 248 252 256 279 288 336 372 384 434 448 496 504 512 558 576 651 672 744 768 868 896 992 1008 1024 1116 1152 1302 1344 1488 1536 1736 1792 1953 1984 2016 2232 2304 2604 2688 2976 3072 3472 3584 3906 3968 4032 4464 4608 5208 5376 5952 6944 7168 7812 7936 8064 8928 9216 10416 10752 11904 13888 15624 15872 16128 17856 20832 21504 23808 27776 31248 31744 32256 35712 41664 47616 55552 62496 64512 71424 83328 95232 111104 124992 142848 166656 222208 249984 285696 333312 499968 666624 999936 1999872