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1355001606 = 232731911551
BaseRepresentation
bin101000011000011…
…1010111100000110
310111102200012202200
41100300322330012
510233340022411
6342242215330
745402216000
oct12060727406
93442605680
101355001606
11635954842
12319954546
13187954aca
14cbd5b370
157de56e56
hex50c3af06

1355001606 has 96 divisors (see below), whose sum is σ = 3604224000. Its totient is φ = 366735600.

The previous prime is 1355001581. The next prime is 1355001631. The reversal of 1355001606 is 6061005531.

It is a happy number.

1355001606 is a `hidden beast` number, since 1 + 3 + 5 + 50 + 0 + 1 + 606 = 666.

It is an interprime number because it is at equal distance from previous prime (1355001581) and next prime (1355001631).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1355001606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111531 + ... + 123081.

It is an arithmetic number, because the mean of its divisors is an integer number (37544000).

Almost surely, 21355001606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355001606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802112000).

1355001606 is an abundant number, since it is smaller than the sum of its proper divisors (2249222394).

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

1355001606 is a wasteful number, since it uses less digits than its factorization.

1355001606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11599 (or 11582 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1355001606 is about 36810.3464531373. The cubic root of 1355001606 is about 1106.5726618309.

The spelling of 1355001606 in words is "one billion, three hundred fifty-five million, one thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 343 399 441 686 798 882 931 1029 1197 1862 2058 2394 2793 3087 5586 6174 6517 8379 11551 13034 16758 19551 23102 34653 39102 58653 69306 80857 103959 117306 161714 207918 219469 242571 438938 485142 565999 658407 727713 1131998 1316814 1455426 1536283 1697997 1975221 3072566 3395994 3950442 3961993 4608849 5093991 7923986 9217698 10187982 10753981 11885979 13826547 21507962 23771958 27653094 32261943 35657937 64523886 71315874 75277867 96785829 150555734 193571658 225833601 451667202 677500803 1355001606