Search a number
-
+
1355188806 = 234127199331
BaseRepresentation
bin101000011000110…
…1000101001000110
310111110000201120000
41100301220221012
510233412020211
6342250222130
745403625526
oct12061505106
93443021500
101355188806
11635a72454
12319a24946
131879bc08a
14cbda9686
157de92656
hex50c68a46

1355188806 has 80 divisors (see below), whose sum is σ = 3085209600. Its totient is φ = 444573360.

The previous prime is 1355188787. The next prime is 1355188829. The reversal of 1355188806 is 6088815531.

1355188806 is a `hidden beast` number, since 13 + 551 + 8 + 8 + 80 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4094061 + ... + 4094391.

It is an arithmetic number, because the mean of its divisors is an integer number (38565120).

Almost surely, 21355188806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355188806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542604800).

1355188806 is an abundant number, since it is smaller than the sum of its proper divisors (1730020794).

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

1355188806 is a wasteful number, since it uses less digits than its factorization.

1355188806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 1355188806 is about 36812.8891286734. The cubic root of 1355188806 is about 1106.6236189325.

The spelling of 1355188806 in words is "one billion, three hundred fifty-five million, one hundred eighty-eight thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 199 254 331 381 398 597 662 762 993 1143 1194 1791 1986 2286 2979 3429 3582 5373 5958 6858 8937 10287 10746 16119 17874 20574 25273 26811 32238 42037 50546 53622 65869 75819 84074 126111 131738 151638 197607 227457 252222 378333 395214 454914 592821 682371 756666 1134999 1185642 1364742 1778463 2047113 2269998 3404997 3556926 4094226 5335389 6809994 8365363 10670778 16730726 25096089 50192178 75288267 150576534 225864801 451729602 677594403 1355188806