Search a number
-
+
1405356966 = 23513222437
BaseRepresentation
bin101001111000100…
…0000101110100110
310121221102112100000
41103301000232212
510334232410331
6351241402130
746553223426
oct12361005646
93557375300
101405356966
11661318542
12332799346
13195205b90
14d4908486
15835a20e6
hex53c40ba6

1405356966 has 48 divisors (see below), whose sum is σ = 3400632144. Its totient is φ = 432415584.

The previous prime is 1405356941. The next prime is 1405356989. The reversal of 1405356966 is 6696535041.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104901 + ... + 117536.

It is an arithmetic number, because the mean of its divisors is an integer number (70846503).

Almost surely, 21405356966 is an apocalyptic number.

1405356966 is an abundant number, since it is smaller than the sum of its proper divisors (1995275178).

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

1405356966 is a wasteful number, since it uses less digits than its factorization.

1405356966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222467 (or 222455 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 1405356966 is about 37488.0909890061. The cubic root of 1405356966 is about 1120.1139780901.

The spelling of 1405356966 in words is "one billion, four hundred five million, three hundred fifty-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 6318 222437 444874 667311 1334622 2001933 2891681 4003866 5783362 6005799 8675043 12011598 17350086 18017397 26025129 36034794 52050258 54052191 78075387 108104382 156150774 234226161 468452322 702678483 1405356966