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2051131040 = 25574014567
BaseRepresentation
bin111101001000001…
…1100011010100000
312021221120020211022
41322100130122200
513200042143130
6535310505012
7101554216610
oct17220343240
95257506738
102051131040
119628a0122
12492b05168
13268c3a50a
141565a8a40
15c01127e5
hex7a41c6a0

2051131040 has 96 divisors (see below), whose sum is σ = 5553080064. Its totient is φ = 701337600.

The previous prime is 2051131037. The next prime is 2051131051. The reversal of 2051131040 is 401311502.

It is an unprimeable number.

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, 446837 + ... + 451403.

It is an arithmetic number, because the mean of its divisors is an integer number (57844584).

Almost surely, 22051131040 is an apocalyptic number.

2051131040 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 2051131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776540032).

2051131040 is an abundant number, since it is smaller than the sum of its proper divisors (3501949024).

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

2051131040 is a wasteful number, since it uses less digits than its factorization.

2051131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2051131040 is about 45289.4142156862. The cubic root of 2051131040 is about 1270.5676756201.

Adding to 2051131040 its reverse (401311502), we get a palindrome (2452442542).

The spelling of 2051131040 in words is "two billion, fifty-one million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 401 560 802 1120 1604 2005 2807 3208 4010 4567 5614 6416 8020 9134 11228 12832 14035 16040 18268 22456 22835 28070 31969 32080 36536 44912 45670 56140 63938 64160 73072 89824 91340 112280 127876 146144 159845 182680 224560 255752 319690 365360 449120 511504 639380 730720 1023008 1278760 1831367 2557520 3662734 5115040 7325468 9156835 12819569 14650936 18313670 25639138 29301872 36627340 51278276 58603744 64097845 73254680 102556552 128195690 146509360 205113104 256391380 293018720 410226208 512782760 1025565520 2051131040