Search a number
-
+
2106799296 = 2637331991
BaseRepresentation
bin111110110010011…
…0011010011000000
312102211022111022120
41331210303103000
513303320034141
6545020004240
7103131333000
oct17544632300
95384274276
102106799296
11991262548
124a9690680
1327762b904
1415db3a000
15c4e5bc66
hex7d9334c0

2106799296 has 112 divisors (see below), whose sum is σ = 6500774400. Its totient is φ = 601923840.

The previous prime is 2106799243. The next prime is 2106799297. The reversal of 2106799296 is 6929976012.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2106799297) 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, 49861 + ... + 81851.

Almost surely, 22106799296 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 2106799296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250387200).

2106799296 is an abundant number, since it is smaller than the sum of its proper divisors (4393975104).

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

2106799296 is an equidigital number, since it uses as much as digits as its factorization.

2106799296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32027 (or 32003 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 2106799296 is about 45899.8833985447. The cubic root of 2106799296 is about 1281.9597453942.

The spelling of 2106799296 in words is "two billion, one hundred six million, seven hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 31991 32928 63982 65856 95973 127964 191946 223937 255928 383892 447874 511856 671811 767784 895748 1023712 1343622 1535568 1567559 1791496 2047424 2687244 3071136 3135118 3582992 4702677 5374488 6142272 6270236 7165984 9405354 10748976 10972913 12540472 14331968 18810708 21497952 21945826 25080944 32918739 37621416 42995904 43891652 50161888 65837478 75242832 87783304 100323776 131674956 150485664 175566608 263349912 300971328 351133216 526699824 702266432 1053399648 2106799296