Search a number
-
+
2041173640 = 23511231011997
BaseRepresentation
bin111100110101001…
…1101011010001000
312021020211100211201
41321222131122020
513140020024030
6534313233544
7101403455362
oct17152353210
95236740751
102041173640
11958209a70
1248b7028b4
13266b6216c
14155135d32
15be2e72ca
hex79a9d688

2041173640 has 128 divisors (see below), whose sum is σ = 5282392320. Its totient is φ = 702592000.

The previous prime is 2041173611. The next prime is 2041173647. The reversal of 2041173640 is 463711402.

It is a junction number, because it is equal to n+sod(n) for n = 2041173599 and 2041173608.

It is not an unprimeable number, because it can be changed into a prime (2041173647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021122 + ... + 1023118.

It is an arithmetic number, because the mean of its divisors is an integer number (41268690).

Almost surely, 22041173640 is an apocalyptic number.

2041173640 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 2041173640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641196160).

2041173640 is an abundant number, since it is smaller than the sum of its proper divisors (3241218680).

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

2041173640 is a wasteful number, since it uses less digits than its factorization.

2041173640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2041173640 is about 45179.3497075821. The cubic root of 2041173640 is about 1268.5083112310.

The spelling of 2041173640 in words is "two billion, forty-one million, one hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 101 110 115 184 202 220 230 253 404 440 460 505 506 808 920 1010 1012 1111 1265 1997 2020 2024 2222 2323 2530 3994 4040 4444 4646 5060 5555 7988 8888 9292 9985 10120 11110 11615 15976 18584 19970 21967 22220 23230 25553 39940 43934 44440 45931 46460 51106 79880 87868 91862 92920 102212 109835 127765 175736 183724 201697 204424 219670 229655 255530 367448 403394 439340 459310 505241 511060 806788 878680 918620 1008485 1010482 1022120 1613576 1837240 2016970 2020964 2218667 2526205 4033940 4041928 4437334 4639031 5052410 8067880 8874668 9278062 10104820 11093335 17749336 18556124 20209640 22186670 23195155 37112248 44373340 46390310 51029341 88746680 92780620 102058682 185561240 204117364 255146705 408234728 510293410 1020586820 2041173640