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114031424 = 26132359101
BaseRepresentation
bin1101100101111…
…11101101000000
321221120101201002
412302333231000
5213143001144
615152031132
72553152063
oct662775500
9257511632
10114031424
1159405551
12322324a8
131a817320
14112048da
15a02714e
hex6cbfb40

114031424 has 112 divisors (see below), whose sum is σ = 261152640. Its totient is φ = 48998400.

The previous prime is 114031417. The next prime is 114031453. The reversal of 114031424 is 424130411.

It is a junction number, because it is equal to n+sod(n) for n = 114031396 and 114031405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128974 + ... + 1129074.

It is an arithmetic number, because the mean of its divisors is an integer number (2331720).

Almost surely, 2114031424 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 114031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130576320).

114031424 is an abundant number, since it is smaller than the sum of its proper divisors (147121216).

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

114031424 is a wasteful number, since it uses less digits than its factorization.

114031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 114031424 is about 10678.5497142636. The cubic root of 114031424 is about 484.9253068096.

Adding to 114031424 its reverse (424130411), we get a palindrome (538161835).

The spelling of 114031424 in words is "one hundred fourteen million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 59 64 92 101 104 118 184 202 208 236 299 368 404 416 472 598 736 767 808 832 944 1196 1313 1357 1472 1534 1616 1888 2323 2392 2626 2714 3068 3232 3776 4646 4784 5252 5428 5959 6136 6464 9292 9568 10504 10856 11918 12272 17641 18584 19136 21008 21712 23836 24544 30199 35282 37168 42016 43424 47672 49088 60398 70564 74336 77467 84032 86848 95344 120796 137057 141128 148672 154934 190688 241592 274114 282256 309868 381376 483184 548228 564512 619736 966368 1096456 1129024 1239472 1781741 1932736 2192912 2478944 3563482 4385824 4957888 7126964 8771648 14253928 28507856 57015712 114031424