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2041120032 = 25373379013
BaseRepresentation
bin111100110101001…
…0000010100100000
312021020201122022020
41321222100110200
513140011320112
6534312141440
7101403143160
oct17152202440
95236648266
102041120032
11958182766
1248b697880
13266b43943
141551205a0
15be2d648c
hex79a90520

2041120032 has 96 divisors (see below), whose sum is σ = 6142211712. Its totient is φ = 581382144.

The previous prime is 2041120019. The next prime is 2041120043. The reversal of 2041120032 is 2300211402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2041119993 and 2041120020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221958 + ... + 230970.

It is an arithmetic number, because the mean of its divisors is an integer number (63981372).

Almost surely, 22041120032 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 2041120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071105856).

2041120032 is an abundant number, since it is smaller than the sum of its proper divisors (4101091680).

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

2041120032 is a wasteful number, since it uses less digits than its factorization.

2041120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9370 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2041120032 is about 45178.7564237884. The cubic root of 2041120032 is about 1268.4972060531.

Adding to 2041120032 its reverse (2300211402), we get a palindrome (4341331434).

The spelling of 2041120032 in words is "two billion, forty-one million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 337 672 674 1011 1348 2022 2359 2696 4044 4718 5392 7077 8088 9013 9436 10784 14154 16176 18026 18872 27039 28308 32352 36052 37744 54078 56616 63091 72104 75488 108156 113232 126182 144208 189273 216312 226464 252364 288416 378546 432624 504728 757092 865248 1009456 1514184 2018912 3028368 3037381 6056736 6074762 9112143 12149524 18224286 21261667 24299048 36448572 42523334 48598096 63785001 72897144 85046668 97196192 127570002 145794288 170093336 255140004 291588576 340186672 510280008 680373344 1020560016 2041120032