Search a number
-
+
2103248992 = 251359671279
BaseRepresentation
bin111110101011101…
…0000100001100000
312102120122010012211
41331113100201200
513301412431432
6544411531504
7103056215155
oct17527204140
95376563184
102103248992
1198a258109
124a8459b94
13276987940
1415d49422c
15c49a9d47
hex7d5d0860

2103248992 has 96 divisors (see below), whose sum is σ = 4606156800. Its totient is φ = 939299328.

The previous prime is 2103248989. The next prime is 2103249017. The reversal of 2103248992 is 2998423012.

It is a congruent number.

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, 1643809 + ... + 1645087.

It is an arithmetic number, because the mean of its divisors is an integer number (47980800).

Almost surely, 22103248992 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 2103248992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303078400).

2103248992 is an abundant number, since it is smaller than the sum of its proper divisors (2502907808).

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

2103248992 is a wasteful number, since it uses less digits than its factorization.

2103248992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 2103248992 is about 45861.1926578453. The cubic root of 2103248992 is about 1281.2392360404.

The spelling of 2103248992 in words is "two billion, one hundred three million, two hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 59 67 104 118 134 208 236 268 416 472 536 767 871 944 1072 1279 1534 1742 1888 2144 2558 3068 3484 3953 5116 6136 6968 7906 10232 12272 13936 15812 16627 20464 24544 27872 31624 33254 40928 51389 63248 66508 75461 85693 102778 126496 133016 150922 171386 205556 266032 301844 342772 411112 532064 603688 685544 822224 980993 1114009 1207376 1371088 1644448 1961986 2228018 2414752 2742176 3923972 4456036 5055887 7847944 8912072 10111774 15695888 17824144 20223548 31391776 35648288 40447096 65726531 80894192 131453062 161788384 262906124 525812248 1051624496 2103248992