Search a number
-
+
1117966096 = 241326432
BaseRepresentation
bin100001010100010…
…1100111100010000
32212220122120011201
41002220230330100
54242144403341
6302533520544
736463361242
oct10250547420
92786576151
101117966096
11524076525
122724a3154
1314a801400
14a8698092
1568234331
hex42a2cf10

1117966096 has 45 divisors (see below), whose sum is σ = 2349149589. Its totient is φ = 515181888.

The previous prime is 1117966081. The next prime is 1117966097. The reversal of 1117966096 is 6906697111.

The square root of 1117966096 is 33436.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 165379600 + 952586496 = 12860^2 + 30864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1117966097) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1738351 + ... + 1738993.

Almost surely, 21117966096 is an apocalyptic number.

1117966096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1117966096 is the 33436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117966096

1117966096 is an abundant number, since it is smaller than the sum of its proper divisors (1231183493).

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

1117966096 is an frugal number, since it uses more digits than its factorization.

1117966096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 46.

The cubic root of 1117966096 is about 1037.8698064490.

The spelling of 1117966096 in words is "one billion, one hundred seventeen million, nine hundred sixty-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 643 676 1286 1352 2572 2704 5144 8359 10288 16718 33436 66872 108667 133744 217334 413449 434668 826898 869336 1653796 1738672 3307592 5374837 6615184 10749674 21499348 42998696 69872881 85997392 139745762 279491524 558983048 1117966096