Search a number
-
+
1355800860 = 22325191093637
BaseRepresentation
bin101000011001111…
…1110000100011100
310111111011211010200
41100303332010130
510234041111420
6342311303500
745412055121
oct12063760434
93444154120
101355800860
11636350287
1231a07ab90
13187b7483b
14cc0c8748
157e063b90
hex50cfe11c

1355800860 has 144 divisors (see below), whose sum is σ = 4369965600. Its totient is φ = 339282432.

The previous prime is 1355800843. The next prime is 1355800861. The reversal of 1355800860 is 680085531.

1355800860 is a `hidden beast` number, since 13 + 5 + 580 + 0 + 8 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355800861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370962 + ... + 374598.

Almost surely, 21355800860 is an apocalyptic number.

1355800860 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 1355800860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184982800).

1355800860 is an abundant number, since it is smaller than the sum of its proper divisors (3014164740).

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

1355800860 is a wasteful number, since it uses less digits than its factorization.

1355800860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1355800860 is about 36821.2012297263. The cubic root of 1355800860 is about 1106.7901914101.

The spelling of 1355800860 in words is "one billion, three hundred fifty-five million, eight hundred thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 109 114 171 180 190 218 228 285 327 342 380 436 545 570 654 684 855 981 1090 1140 1308 1635 1710 1962 2071 2180 3270 3420 3637 3924 4142 4905 6213 6540 7274 8284 9810 10355 10911 12426 14548 18185 18639 19620 20710 21822 24852 31065 32733 36370 37278 41420 43644 54555 62130 65466 69103 72740 74556 93195 109110 124260 130932 138206 163665 186390 207309 218220 276412 327330 345515 372780 396433 414618 621927 654660 691030 792866 829236 1036545 1189299 1243854 1382060 1585732 1982165 2073090 2378598 2487708 3109635 3567897 3964330 4146180 4757196 5946495 6219270 7135794 7532227 7928660 11892990 12438540 14271588 15064454 17839485 22596681 23785980 30128908 35678970 37661135 45193362 67790043 71357940 75322270 90386724 112983405 135580086 150644540 225966810 271160172 338950215 451933620 677900430 1355800860