Search a number
-
+
2041368480 = 25345157513
BaseRepresentation
bin111100110101100…
…1100111110100000
312021021012021010000
41321223030332200
513140042242410
6534321340000
7101405226414
oct17153147640
95237167100
102041368480
11958332398
1248b797600
13266bcca58
14155186d44
15be334dc0
hex79accfa0

2041368480 has 120 divisors (see below), whose sum is σ = 7204375332. Its totient is φ = 544361472.

The previous prime is 2041368457. The next prime is 2041368487. The reversal of 2041368480 is 848631402.

It can be written as a sum of positive squares in 2 ways, for example, as 2021761296 + 19607184 = 44964^2 + 4428^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×20413684802 = 8334370542275020800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2041368487) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 65797 + ... + 91716.

Almost surely, 22041368480 is an apocalyptic number.

2041368480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041368480 is an abundant number, since it is smaller than the sum of its proper divisors (5163006852).

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

2041368480 is a wasteful number, since it uses less digits than its factorization.

2041368480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157540 (or 157523 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2041368480 is about 45181.5059509973. The cubic root of 2041368480 is about 1268.5486717195.

Adding to 2041368480 its reverse (848631402), we get a palindrome (2889999882).

The spelling of 2041368480 in words is "two billion, forty-one million, three hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 157513 315026 472539 630052 787565 945078 1260104 1417617 1575130 1890156 2362695 2520208 2835234 3150260 3780312 4252851 4725390 5040416 5670468 6300520 7088085 7560624 8505702 9450780 11340936 12601040 12758553 14176170 15121248 17011404 18901560 21264255 22681872 25202080 25517106 28352340 34022808 37803120 42528510 45363744 51034212 56704680 63792765 68045616 75606240 85057020 102068424 113409360 127585530 136091232 170114040 204136848 226818720 255171060 340228080 408273696 510342120 680456160 1020684240 2041368480