Search a number
-
+
1288771420 = 225233775721
BaseRepresentation
bin100110011010001…
…0001011101011100
310022211001101000211
41030310101131130
510114411141140
6331514502204
743636243036
oct11464213534
93284041024
101288771420
11601529052
122bb734964
13177006151
14c323ac56
15782232ea
hex4cd1175c

1288771420 has 48 divisors (see below), whose sum is σ = 2900455488. Its totient is φ = 479761920.

The previous prime is 1288771417. The next prime is 1288771423. The reversal of 1288771420 is 241778821.

1288771420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1288771417) and next prime (1288771423).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288771423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20841 + ... + 54880.

It is an arithmetic number, because the mean of its divisors is an integer number (60426156).

Almost surely, 21288771420 is an apocalyptic number.

1288771420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288771420 is an abundant number, since it is smaller than the sum of its proper divisors (1611684068).

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

1288771420 is a wasteful number, since it uses less digits than its factorization.

1288771420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75790 (or 75788 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 40.

The square root of 1288771420 is about 35899.4626700735. The cubic root of 1288771420 is about 1088.2415380246.

The spelling of 1288771420 in words is "one billion, two hundred eighty-eight million, seven hundred seventy-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1702 3404 4255 8510 17020 75721 151442 302884 378605 757210 1514420 1741583 2801677 3483166 5603354 6966332 8707915 11206708 14008385 17415830 28016770 34831660 56033540 64438571 128877142 257754284 322192855 644385710 1288771420