Search a number
-
+
2991171240 = 23345923201
BaseRepresentation
bin1011001001001001…
…1010011010101000
321201110102020120000
42302102122122220
522111214434430
61212451103000
7134060351601
oct26222323250
97643366500
102991171240
1112a5490252
126b58a1a60
13388912b15
14205388da8
151278ece60
hexb249a6a8

2991171240 has 80 divisors (see below), whose sum is σ = 10053669780. Its totient is φ = 797644800.

The previous prime is 2991171221. The next prime is 2991171241. The reversal of 2991171240 is 421711992.

It can be written as a sum of positive squares in 2 ways, for example, as 2953052964 + 38118276 = 54342^2 + 6174^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2991171195 and 2991171204.

It is not an unprimeable number, because it can be changed into a prime (2991171241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 458361 + ... + 464840.

Almost surely, 22991171240 is an apocalyptic number.

2991171240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2991171240 is an abundant number, since it is smaller than the sum of its proper divisors (7062498540).

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

2991171240 is a wasteful number, since it uses less digits than its factorization.

2991171240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923224 (or 923211 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 2991171240 is about 54691.6011833627. The cubic root of 2991171240 is about 1440.8333717760.

The spelling of 2991171240 in words is "two billion, nine hundred ninety-one million, one hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 923201 1846402 2769603 3692804 4616005 5539206 7385608 8308809 9232010 11078412 13848015 16617618 18464020 22156824 24926427 27696030 33235236 36928040 41544045 49852854 55392060 66470472 74779281 83088090 99705708 110784120 124632135 149558562 166176180 199411416 249264270 299117124 332352360 373896405 498528540 598234248 747792810 997057080 1495585620 2991171240