[go: up one dir, main page]

Search a number
-
+
2149675710 = 235713787427
BaseRepresentation
bin1000000000100001…
…0111001010111110
312112210222211200220
42000020113022332
513400304110320
6553151002210
7104161641060
oct20010271276
95483884626
102149675710
11a034881a6
124bbb09366
13283491780
141656db730
15c8acae40
hex802172be

2149675710 has 64 divisors (see below), whose sum is σ = 6349819392. Its totient is φ = 453557376.

The previous prime is 2149675669. The next prime is 2149675711. The reversal of 2149675710 is 175769412.

It is a happy number.

It is a super-2 number, since 2×21496757102 = 9242211316328008200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149675711) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 390984 + ... + 396443.

It is an arithmetic number, because the mean of its divisors is an integer number (99215928).

Almost surely, 22149675710 is an apocalyptic number.

2149675710 is an abundant number, since it is smaller than the sum of its proper divisors (4200143682).

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

2149675710 is a wasteful number, since it uses less digits than its factorization.

2149675710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787457.

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 2149675710 is about 46364.5954366044. The cubic root of 2149675710 is about 1290.5979860832.

The spelling of 2149675710 in words is "two billion, one hundred forty-nine million, six hundred seventy-five thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 787427 1574854 2362281 3937135 4724562 5511989 7874270 10236551 11023978 11811405 16535967 20473102 23622810 27559945 30709653 33071934 51182755 55119890 61419306 71655857 82679835 102365510 143311714 153548265 165359670 214967571 307096530 358279285 429935142 716558570 1074837855 2149675710