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1355120430 = 235531376221
BaseRepresentation
bin101000011000101…
…0111111100101110
310111102220020202120
41100301113330232
510233402323210
6342244533410
745403222266
oct12061277456
93442806676
101355120430
11635a26044
123199b1266
13187996c11
14cbd8c7a6
157de7c270
hex50c57f2e

1355120430 has 64 divisors (see below), whose sum is σ = 3338376768. Its totient is φ = 351902720.

The previous prime is 1355120423. The next prime is 1355120441. The reversal of 1355120430 is 340215531.

It is a self number, because there is not a number n which added to its sum of digits gives 1355120430.

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 31 ways as a sum of consecutive naturals, for example, 214720 + ... + 220940.

It is an arithmetic number, because the mean of its divisors is an integer number (52162137).

Almost surely, 21355120430 is an apocalyptic number.

1355120430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355120430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669188384).

1355120430 is an abundant number, since it is smaller than the sum of its proper divisors (1983256338).

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

1355120430 is a wasteful number, since it uses less digits than its factorization.

1355120430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1355120430 is about 36811.9604204938. The cubic root of 1355120430 is about 1106.6050070685.

Adding to 1355120430 its reverse (340215531), we get a palindrome (1695335961).

The spelling of 1355120430 in words is "one billion, three hundred fifty-five million, one hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 137 159 265 274 318 411 530 685 795 822 1370 1590 2055 4110 6221 7261 12442 14522 18663 21783 31105 36305 37326 43566 62210 72610 93315 108915 186630 217830 329713 659426 852277 989139 1648565 1704554 1978278 2556831 3297130 4261385 4945695 5113662 8522770 9891390 12784155 25568310 45170681 90341362 135512043 225853405 271024086 451706810 677560215 1355120430