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1117955394 = 2321729532377
BaseRepresentation
bin100001010100010…
…1010010101000010
32212220122000111100
41002220222111002
54242144033034
6302533355230
736463315113
oct10250522502
92786560440
101117955394
11524069486
12272498b16
1314a7c958a
14a869420a
1568231099
hex42a2a542

1117955394 has 96 divisors (see below), whose sum is σ = 2704356720. Its totient is φ = 332107776.

The previous prime is 1117955393. The next prime is 1117955417. The reversal of 1117955394 is 4935597111.

1117955394 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 9 + 553 + 94 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 798797169 + 319158225 = 28263^2 + 17865^2 .

It is not an unprimeable number, because it can be changed into a prime (1117955393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469134 + ... + 471510.

Almost surely, 21117955394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117955394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352178360).

1117955394 is an abundant number, since it is smaller than the sum of its proper divisors (1586401326).

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

1117955394 is a wasteful number, since it uses less digits than its factorization.

1117955394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2481 counting only the distinct ones).

The product of its digits is 170100, while the sum is 45.

The square root of 1117955394 is about 33435.8399625312. The cubic root of 1117955394 is about 1037.8664946854.

The spelling of 1117955394 in words is "one billion, one hundred seventeen million, nine hundred fifty-five thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 29 34 51 53 58 87 102 106 153 159 174 261 306 318 477 493 522 901 954 986 1479 1537 1802 2377 2703 2958 3074 4437 4611 4754 5406 7131 8109 8874 9222 13833 14262 16218 21393 26129 27666 40409 42786 52258 68933 78387 80818 121227 125981 137866 156774 206799 235161 242454 251962 363681 377943 413598 470322 620397 727362 755886 1133829 1171861 1240794 2141677 2267658 2343722 3515583 3653449 4283354 6425031 7031166 7306898 10546749 10960347 12850062 19275093 21093498 21920694 32881041 38550186 62108633 65762082 124217266 186325899 372651798 558977697 1117955394