Search a number
-
+
2131356440 = 235121743783
BaseRepresentation
bin111111100001001…
…1110101100011000
312111112112010101102
41333002132230120
513331111401230
6551254210532
7103550142113
oct17702365430
95445463342
102131356440
119a4105704
124b5953a48
1327c749375
141630cd57a
15c71ad045
hex7f09eb18

2131356440 has 32 divisors (see below), whose sum is σ = 4799602080. Its totient is φ = 851822592.

The previous prime is 2131356431. The next prime is 2131356463. The reversal of 2131356440 is 446531312.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26789 + ... + 70571.

It is an arithmetic number, because the mean of its divisors is an integer number (149987565).

Almost surely, 22131356440 is an apocalyptic number.

2131356440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131356440 is an abundant number, since it is smaller than the sum of its proper divisors (2668245640).

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

2131356440 is a wasteful number, since it uses less digits than its factorization.

2131356440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45011 (or 45007 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2131356440 is about 46166.6160769879. The cubic root of 2131356440 is about 1286.9214170992.

Adding to 2131356440 its reverse (446531312), we get a palindrome (2577887752).

The spelling of 2131356440 in words is "two billion, one hundred thirty-one million, three hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1217 2434 4868 6085 9736 12170 24340 43783 48680 87566 175132 218915 350264 437830 875660 1751320 53283911 106567822 213135644 266419555 426271288 532839110 1065678220 2131356440