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1114905168 = 243313215271
BaseRepresentation
bin100001001110100…
…0001101001010000
32212200220001101000
41002131001221100
54240403431133
6302344142000
736425352246
oct10235015120
92780801330
101114905168
11522375833
12271467900
13149c9c100
14a80dc796
1567d2c413
hex42741a50

1114905168 has 120 divisors (see below), whose sum is σ = 3465522240. Its totient is φ = 343025280.

The previous prime is 1114905139. The next prime is 1114905217. The reversal of 1114905168 is 8615094111.

It is a happy number.

1114905168 is a `hidden beast` number, since 1 + 1 + 1 + 490 + 5 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 65373 + ... + 80643.

It is an arithmetic number, because the mean of its divisors is an integer number (28879352).

Almost surely, 21114905168 is an apocalyptic number.

1114905168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114905168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732761120).

1114905168 is an abundant number, since it is smaller than the sum of its proper divisors (2350617072).

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

1114905168 is a wasteful number, since it uses less digits than its factorization.

1114905168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15314 (or 15289 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1114905168 is about 33390.1956867581. The cubic root of 1114905168 is about 1036.9217310345.

Adding to 1114905168 its reverse (8615094111), we get a palindrome (9729999279).

The spelling of 1114905168 in words is "one billion, one hundred fourteen million, nine hundred five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 676 702 936 1014 1352 1404 1521 1872 2028 2704 2808 3042 4056 4563 5616 6084 8112 9126 12168 15271 18252 24336 30542 36504 45813 61084 73008 91626 122168 137439 183252 198523 244336 274878 366504 397046 412317 549756 595569 733008 794092 824634 1099512 1191138 1588184 1649268 1786707 2199024 2382276 2580799 3176368 3298536 3573414 4764552 5161598 5360121 6597072 7146828 7742397 9529104 10323196 10720242 14293656 15484794 20646392 21440484 23227191 28587312 30969588 41292784 42880968 46454382 61939176 69681573 85761936 92908764 123878352 139363146 185817528 278726292 371635056 557452584 1114905168