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1083641540 = 225176315051
BaseRepresentation
bin100000010010111…
…0000111011000100
32210112001200201212
41000211300323010
54204403012130
6255310110552
735565541532
oct10045607304
92715050655
101083641540
11506761a23
12262aab458
13143673c17
14a3cc1152
1565203e95
hex40970ec4

1083641540 has 48 divisors (see below), whose sum is σ = 2413805184. Its totient is φ = 407232000.

The previous prime is 1083641519. The next prime is 1083641543. The reversal of 1083641540 is 451463801.

It is a junction number, because it is equal to n+sod(n) for n = 1083641497 and 1083641506.

It is not an unprimeable number, because it can be changed into a prime (1083641543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212015 + ... + 217065.

It is an arithmetic number, because the mean of its divisors is an integer number (50287608).

Almost surely, 21083641540 is an apocalyptic number.

1083641540 is a gapful number since it is divisible by the number (10) 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 1083641540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206902592).

1083641540 is an abundant number, since it is smaller than the sum of its proper divisors (1330163644).

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

1083641540 is a wasteful number, since it uses less digits than its factorization.

1083641540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1083641540 is about 32918.7110926294. The cubic root of 1083641540 is about 1027.1374124922.

The spelling of 1083641540 in words is "one billion, eighty-three million, six hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 631 1262 2524 3155 5051 6310 10102 10727 12620 20204 21454 25255 42908 50510 53635 85867 101020 107270 171734 214540 343468 429335 858670 1717340 3187181 6374362 12748724 15935905 31871810 54182077 63743620 108364154 216728308 270910385 541820770 1083641540