Search a number
-
+
114485976 = 233211314663
BaseRepresentation
bin1101101001011…
…10101011011000
321222102111020100
412310232223120
5213302022401
615205455400
72560054233
oct664565330
9258374210
10114485976
1159696010
1232411560
131a9461a7
14112c241a
15a0b6b86
hex6d2ead8

114485976 has 96 divisors (see below), whose sum is σ = 349240320. Its totient is φ = 33566400.

The previous prime is 114485957. The next prime is 114485983. The reversal of 114485976 is 679584411.

114485976 is a `hidden beast` number, since 1 + 14 + 48 + 597 + 6 = 666.

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, 22221 + ... + 26883.

It is an arithmetic number, because the mean of its divisors is an integer number (3637920).

Almost surely, 2114485976 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 114485976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174620160).

114485976 is an abundant number, since it is smaller than the sum of its proper divisors (234754344).

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

114485976 is a wasteful number, since it uses less digits than its factorization.

114485976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4710 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 114485976 is about 10699.8119609645. The cubic root of 114485976 is about 485.5687888805.

It can be divided in two parts, 11448 and 5976, that added together give a square (17424 = 1322).

The spelling of 114485976 in words is "one hundred fourteen million, four hundred eighty-five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 4663 6138 8184 9326 12276 13989 18652 24552 27978 37304 41967 51293 55956 83934 102586 111912 144553 153879 167868 205172 289106 307758 335736 410344 433659 461637 578212 615516 867318 923274 1156424 1231032 1300977 1590083 1734636 1846548 2601954 3180166 3469272 3693096 4770249 5203908 6360332 9540498 10407816 12720664 14310747 19080996 28621494 38161992 57242988 114485976