Search a number
-
+
1331235400 = 2352112326309
BaseRepresentation
bin100111101011001…
…0000101001001000
310102202221202122211
41033112100221020
510211244013100
6340032554504
744663212525
oct11726205110
93382852584
101331235400
116234a1950
123119b2a34
13182a53371
14c8b3214c
157bd101ba
hex4f590a48

1331235400 has 96 divisors (see below), whose sum is σ = 3523435200. Its totient is φ = 463020800.

The previous prime is 1331235383. The next prime is 1331235403. The reversal of 1331235400 is 45321331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1331235403) 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 23 ways as a sum of consecutive naturals, for example, 37446 + ... + 63754.

It is an arithmetic number, because the mean of its divisors is an integer number (36702450).

Almost surely, 21331235400 is an apocalyptic number.

1331235400 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 1331235400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761717600).

1331235400 is an abundant number, since it is smaller than the sum of its proper divisors (2192199800).

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

1331235400 is a wasteful number, since it uses less digits than its factorization.

1331235400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26359 (or 26350 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1331235400 is about 36486.0987226642. The cubic root of 1331235400 is about 1100.0648446622.

Adding to 1331235400 its reverse (45321331), we get a palindrome (1376556731).

The spelling of 1331235400 in words is "one billion, three hundred thirty-one million, two hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4600 5060 6325 10120 12650 25300 26309 50600 52618 105236 131545 210472 263090 289399 526180 578798 605107 657725 1052360 1157596 1210214 1315450 1446995 2315192 2420428 2630900 2893990 3025535 4840856 5261800 5787980 6051070 6656177 7234975 11575960 12102140 13312354 14469950 15127675 24204280 26624708 28939900 30255350 33280885 53249416 57879800 60510700 66561770 121021400 133123540 166404425 266247080 332808850 665617700 1331235400