Search a number
-
+
2090887968 = 2531312311361
BaseRepresentation
bin111110010100000…
…0110101100100000
312101201101010002010
41330220012230200
513240231403333
6543250552520
7102546153201
oct17450065440
95351333063
102090887968
11983285094
124a4298740
1327424a520
1415b9975a8
15c3867563
hex7ca06b20

2090887968 has 96 divisors (see below), whose sum is σ = 5919927552. Its totient is φ = 642355200.

The previous prime is 2090887921. The next prime is 2090887991. The reversal of 2090887968 is 8697880902.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535608 + ... + 1536968.

It is an arithmetic number, because the mean of its divisors is an integer number (61665912).

Almost surely, 22090887968 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 2090887968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959963776).

2090887968 is an abundant number, since it is smaller than the sum of its proper divisors (3829039584).

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

2090887968 is a wasteful number, since it uses less digits than its factorization.

2090887968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The square root of 2090887968 is about 45726.2284471396. The cubic root of 2090887968 is about 1278.7243084519.

The spelling of 2090887968 in words is "two billion, ninety million, eight hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1231 1248 1361 2462 2722 3693 4083 4924 5444 7386 8166 9848 10888 14772 16003 16332 17693 19696 21776 29544 32006 32664 35386 39392 43552 48009 53079 59088 64012 65328 70772 96018 106158 118176 128024 130656 141544 192036 212316 256048 283088 384072 424632 512096 566176 768144 849264 1536288 1675391 1698528 3350782 5026173 6701564 10052346 13403128 20104692 21780083 26806256 40209384 43560166 53612512 65340249 80418768 87120332 130680498 160837536 174240664 261360996 348481328 522721992 696962656 1045443984 2090887968