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114405888 = 293211353
BaseRepresentation
bin1101101000110…
…11001000000000
321222021102101010
412310123020000
5213241442023
615204040520
72556301602
oct664331000
9258242333
10114405888
1159640923
1232393140
131a9188bc
14112a1172
15a09d093
hex6d1b200

114405888 has 80 divisors (see below), whose sum is σ = 307096416. Its totient is φ = 37847040.

The previous prime is 114405883. The next prime is 114405901. The reversal of 114405888 is 888504411.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (114405883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323920 + ... + 324272.

Almost surely, 2114405888 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 114405888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153548208).

114405888 is an abundant number, since it is smaller than the sum of its proper divisors (192690528).

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

114405888 is an equidigital number, since it uses as much as digits as its factorization.

114405888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 114405888 is about 10696.0688105490. The cubic root of 114405888 is about 485.4555368588.

The spelling of 114405888 in words is "one hundred fourteen million, four hundred five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 256 353 384 422 512 633 706 768 844 1059 1266 1412 1536 1688 2118 2532 2824 3376 4236 5064 5648 6752 8472 10128 11296 13504 16944 20256 22592 27008 33888 40512 45184 54016 67776 74483 81024 90368 108032 135552 148966 162048 180736 223449 271104 297932 324096 446898 542208 595864 893796 1191728 1787592 2383456 3575184 4766912 7150368 9533824 14300736 19067648 28601472 38135296 57202944 114405888