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114021024 = 25313211433
BaseRepresentation
bin1101100101111…
…01001010100000
321221112212102220
412302331022200
5213142133044
615151511040
72553106545
oct662751240
9257485386
10114021024
11593a8757
1232228480
131a812680
1411200bcc
15a024019
hex6cbd2a0

114021024 has 96 divisors (see below), whose sum is σ = 324604224. Its totient is φ = 34836480.

The previous prime is 114020987. The next prime is 114021029. The reversal of 114021024 is 420120411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114020994 and 114021012.

It is not an unprimeable number, because it can be changed into a prime (114021029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263112 + ... + 263544.

It is an arithmetic number, because the mean of its divisors is an integer number (3381294).

Almost surely, 2114021024 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 114021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162302112).

114021024 is an abundant number, since it is smaller than the sum of its proper divisors (210583200).

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

114021024 is a wasteful number, since it uses less digits than its factorization.

114021024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 114021024 is about 10678.0627456482. The cubic root of 114021024 is about 484.9105641584.

Adding to 114021024 its reverse (420120411), we get a palindrome (534141435).

The spelling of 114021024 in words is "one hundred fourteen million, twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 211 312 416 422 433 624 633 844 866 1248 1266 1299 1688 1732 2532 2598 2743 3376 3464 5064 5196 5486 5629 6752 6928 8229 10128 10392 10972 11258 13856 16458 16887 20256 20784 21944 22516 32916 33774 41568 43888 45032 65832 67548 87776 90064 91363 131664 135096 180128 182726 263328 270192 274089 365452 540384 548178 730904 1096356 1187719 1461808 2192712 2375438 2923616 3563157 4385424 4750876 7126314 8770848 9501752 14252628 19003504 28505256 38007008 57010512 114021024