Search a number
-
+
1114550440 = 235312513581
BaseRepresentation
bin100001001101110…
…1011000010101000
32212200020000202221
41002123223002220
54240311103230
6302332403424
736422344123
oct10233530250
92780200687
101114550440
11522153273
12271316574
13149ba6803
14a80493ba
1567cac27a
hex426eb0a8

1114550440 has 64 divisors (see below), whose sum is σ = 2599672320. Its totient is φ = 429600000.

The previous prime is 1114550429. The next prime is 1114550441. The reversal of 1114550440 is 440554111.

It is not an unprimeable number, because it can be changed into a prime (1114550441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309450 + ... + 313030.

It is an arithmetic number, because the mean of its divisors is an integer number (40619880).

Almost surely, 21114550440 is an apocalyptic number.

1114550440 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 1114550440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299836160).

1114550440 is an abundant number, since it is smaller than the sum of its proper divisors (1485121880).

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

1114550440 is a wasteful number, since it uses less digits than its factorization.

1114550440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 1114550440 is about 33384.8834055175. The cubic root of 1114550440 is about 1036.8117473338.

The spelling of 1114550440 in words is "one billion, one hundred fourteen million, five hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 251 310 502 620 1004 1240 1255 2008 2510 3581 5020 7162 7781 10040 14324 15562 17905 28648 31124 35810 38905 62248 71620 77810 111011 143240 155620 222022 311240 444044 555055 888088 898831 1110110 1797662 2220220 3595324 4440440 4494155 7190648 8988310 17976620 27863761 35953240 55727522 111455044 139318805 222910088 278637610 557275220 1114550440