Search a number
-
+
2126060600 = 2352311392467
BaseRepresentation
bin111111010111001…
…0001110000111000
312111011120001212012
41332232101300320
513323232414400
6550544505052
7103454134256
oct17656216070
95434501765
102126060600
119a1118884
124b401b188
1327b613a31
141625115d6
15c69b3d35
hex7eb91c38

2126060600 has 96 divisors (see below), whose sum is σ = 5141337600. Its totient is φ = 816739200.

The previous prime is 2126060581. The next prime is 2126060621. The reversal of 2126060600 is 60606212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860567 + ... + 863033.

It is an arithmetic number, because the mean of its divisors is an integer number (53555600).

Almost surely, 22126060600 is an apocalyptic number.

2126060600 is a gapful number since it is divisible by the number (20) 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 2126060600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570668800).

2126060600 is an abundant number, since it is smaller than the sum of its proper divisors (3015277000).

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

2126060600 is a wasteful number, since it uses less digits than its factorization.

2126060600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2126060600 is about 46109.2246735943. The cubic root of 2126060600 is about 1285.8546500489.

Adding to 2126060600 its reverse (60606212), we get a palindrome (2186666812).

The spelling of 2126060600 in words is "two billion, one hundred twenty-six million, sixty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 139 155 200 248 278 310 556 620 695 775 1112 1240 1390 1550 2467 2780 3100 3475 4309 4934 5560 6200 6950 8618 9868 12335 13900 17236 19736 21545 24670 27800 34472 43090 49340 61675 76477 86180 98680 107725 123350 152954 172360 215450 246700 305908 342913 382385 430900 493400 611816 685826 764770 861800 1371652 1529540 1714565 1911925 2743304 3059080 3429130 3823850 6858260 7647700 8572825 10630303 13716520 15295400 17145650 21260606 34291300 42521212 53151515 68582600 85042424 106303030 212606060 265757575 425212120 531515150 1063030300 2126060600