Search a number
-
+
1355533300 = 2252115323251
BaseRepresentation
bin101000011001011…
…1100101111110100
310111110200020010001
41100302330233310
510234004031200
6342301441044
745406562062
oct12062745764
93443606101
101355533300
11636188260
12319b70184
13187aacb14
14cc059032
157e00e76a
hex50cbcbf4

1355533300 has 72 divisors (see below), whose sum is σ = 3269603232. Its totient is φ = 483600000.

The previous prime is 1355533261. The next prime is 1355533307. The reversal of 1355533300 is 33355531.

It is a super-3 number, since 3×13555333003 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355533307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46675 + ... + 69925.

It is an arithmetic number, because the mean of its divisors is an integer number (45411156).

Almost surely, 21355533300 is an apocalyptic number.

1355533300 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 1355533300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634801616).

1355533300 is an abundant number, since it is smaller than the sum of its proper divisors (1914069932).

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

1355533300 is a wasteful number, since it uses less digits than its factorization.

1355533300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23329 (or 23322 counting only the distinct ones).

The product of its (nonzero) digits is 10125, while the sum is 28.

The square root of 1355533300 is about 36817.5678175514. The cubic root of 1355533300 is about 1106.7173802585.

Adding to 1355533300 its reverse (33355531), we get a palindrome (1388888831).

The spelling of 1355533300 in words is "one billion, three hundred fifty-five million, five hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 11660 14575 23251 29150 46502 58300 93004 116255 232510 255761 465020 511522 581275 1023044 1162550 1232303 1278805 2325100 2464606 2557610 4929212 5115220 6161515 6394025 12323030 12788050 13555333 24646060 25576100 27110666 30807575 54221332 61615150 67776665 123230300 135553330 271106660 338883325 677766650 1355533300