Search a number
-
+
1810272040 = 235232398233
BaseRepresentation
bin110101111100110…
…1000111100101000
311200011100100101121
41223321220330220
512201412201130
6455344225024
762601026023
oct15371507450
94604310347
101810272040
118499401a5
1242630b174
1322b0786b5
141325cc1ba
15a8dd6d7a
hex6be68f28

1810272040 has 64 divisors (see below), whose sum is σ = 4268505600. Its totient is φ = 689644032.

The previous prime is 1810272011. The next prime is 1810272041. The reversal of 1810272040 is 402720181.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1810271996 and 1810272014.

It is not an unprimeable number, because it can be changed into a prime (1810272041) 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 15 ways as a sum of consecutive naturals, for example, 215764 + ... + 223996.

It is an arithmetic number, because the mean of its divisors is an integer number (66695400).

Almost surely, 21810272040 is an apocalyptic number.

1810272040 is a gapful number since it is divisible by the number (10) 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 1810272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134252800).

1810272040 is an abundant number, since it is smaller than the sum of its proper divisors (2458233560).

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

1810272040 is a wasteful number, since it uses less digits than its factorization.

1810272040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506 (or 8502 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 1810272040 is about 42547.2918057072. The cubic root of 1810272040 is about 1218.7499603243.

The spelling of 1810272040 in words is "one billion, eight hundred ten million, two hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 239 460 478 920 956 1195 1912 2390 4780 5497 8233 9560 10994 16466 21988 27485 32932 41165 43976 54970 65864 82330 109940 164660 189359 219880 329320 378718 757436 946795 1514872 1893590 1967687 3787180 3935374 7574360 7870748 9838435 15741496 19676870 39353740 45256801 78707480 90513602 181027204 226284005 362054408 452568010 905136020 1810272040