Search a number
-
+
1116119904 = 253174714551
BaseRepresentation
bin100001010000110…
…1010001101100000
32212210011202200020
41002201222031200
54241211314104
6302430153440
736441601614
oct10241521540
92783152606
101116119904
11523025449
12271952880
1314a305ca3
14a8337344
1567ebc2d9
hex4286a360

1116119904 has 96 divisors (see below), whose sum is σ = 3168377856. Its totient is φ = 342681600.

The previous prime is 1116119899. The next prime is 1116119909. The reversal of 1116119904 is 4099116111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1116119899) and next prime (1116119909).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116119909) 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 15 ways as a sum of consecutive naturals, for example, 69429 + ... + 83979.

It is an arithmetic number, because the mean of its divisors is an integer number (33003936).

Almost surely, 21116119904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116119904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584188928).

1116119904 is an abundant number, since it is smaller than the sum of its proper divisors (2052257952).

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

1116119904 is a wasteful number, since it uses less digits than its factorization.

1116119904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14628 (or 14620 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 33.

The square root of 1116119904 is about 33408.3807449568. The cubic root of 1116119904 is about 1037.2981842705.

The spelling of 1116119904 in words is "one billion, one hundred sixteen million, one hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 68 94 96 102 136 141 188 204 272 282 376 408 544 564 752 799 816 1128 1504 1598 1632 2256 2397 3196 4512 4794 6392 9588 12784 14551 19176 25568 29102 38352 43653 58204 76704 87306 116408 174612 232816 247367 349224 465632 494734 683897 698448 742101 989468 1367794 1396896 1484202 1978936 2051691 2735588 2968404 3957872 4103382 5471176 5936808 7915744 8206764 10942352 11626249 11873616 16413528 21884704 23252498 23747232 32827056 34878747 46504996 65654112 69757494 93009992 139514988 186019984 279029976 372039968 558059952 1116119904