Search a number
-
+
2094981600 = 253521675227
BaseRepresentation
bin111110011011110…
…1110000111100000
312102000002002111010
41330313232013200
513242303402400
6543514420520
7102626023035
oct17467560740
95360062433
102094981600
11985620758
124a5731740
132750518aa
1415c34138c
15c3dc5450
hex7cdee1e0

2094981600 has 144 divisors (see below), whose sum is σ = 6861310848. Its totient is φ = 555210240.

The previous prime is 2094981589. The next prime is 2094981607. The reversal of 2094981600 is 61894902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2094981607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398187 + ... + 403413.

It is an arithmetic number, because the mean of its divisors is an integer number (47647992).

Almost surely, 22094981600 is an apocalyptic number.

2094981600 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 2094981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430655424).

2094981600 is an abundant number, since it is smaller than the sum of its proper divisors (4766329248).

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

2094981600 is a wasteful number, since it uses less digits than its factorization.

2094981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 2094981600 is about 45770.9689650547. The cubic root of 2094981600 is about 1279.5582785713.

The spelling of 2094981600 in words is "two billion, ninety-four million, nine hundred eighty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 167 200 240 300 334 400 480 501 600 668 800 835 1002 1200 1336 1670 2004 2400 2505 2672 3340 4008 4175 5010 5227 5344 6680 8016 8350 10020 10454 12525 13360 15681 16032 16700 20040 20908 25050 26135 26720 31362 33400 40080 41816 50100 52270 62724 66800 78405 80160 83632 100200 104540 125448 130675 133600 156810 167264 200400 209080 250896 261350 313620 392025 400800 418160 501792 522700 627240 784050 836320 872909 1045400 1254480 1568100 1745818 2090800 2508960 2618727 3136200 3491636 4181600 4364545 5237454 6272400 6983272 8729090 10474908 12544800 13093635 13966544 17458180 20949816 21822725 26187270 27933088 34916360 41899632 43645450 52374540 65468175 69832720 83799264 87290900 104749080 130936350 139665440 174581800 209498160 261872700 349163600 418996320 523745400 698327200 1047490800 2094981600