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114548112 = 24327195981
BaseRepresentation
bin1101101001111…
…01110110010000
321222112122110200
412310331312100
5213311014422
615211055200
72560433340
oct664756620
9258478420
10114548112
1159728768
1232441500
131a968563
14112dad20
15a0ca2ac
hex6d3dd90

114548112 has 120 divisors (see below), whose sum is σ = 385719360. Its totient is φ = 31000320.

The previous prime is 114548111. The next prime is 114548113. The reversal of 114548112 is 211845411.

It is a happy number.

114548112 is a `hidden beast` number, since 1 + 1 + 4 + 548 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (114548111) and next prime (114548113).

It is not an unprimeable number, because it can be changed into a prime (114548111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16162 + ... + 22142.

It is an arithmetic number, because the mean of its divisors is an integer number (3214328).

Almost surely, 2114548112 is an apocalyptic number.

114548112 is a gapful number since it is divisible by the number (12) 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 114548112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192859680).

114548112 is an abundant number, since it is smaller than the sum of its proper divisors (271171248).

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

114548112 is a wasteful number, since it uses less digits than its factorization.

114548112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 6012 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 114548112 is about 10702.7151695259. The cubic root of 114548112 is about 485.6566186933.

The spelling of 114548112 in words is "one hundred fourteen million, five hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 5981 6384 9576 11962 17943 19152 23924 35886 41867 47848 53829 71772 83734 95696 107658 113639 125601 143544 167468 215316 227278 251202 287088 334936 340917 376803 430632 454556 502404 669872 681834 753606 795473 861264 909112 1004808 1022751 1363668 1507212 1590946 1818224 2009616 2045502 2386419 2727336 3014424 3181892 4091004 4772838 5454672 6028848 6363784 7159257 8182008 9545676 12727568 14318514 16364016 19091352 28637028 38182704 57274056 114548112