Search a number
-
+
114732384 = 25313149617
BaseRepresentation
bin1101101011010…
…10110101100000
321222220000020120
412311222311200
5213332414014
615215040240
72562131514
oct665526540
9258800216
10114732384
1159844158
1232510080
131aa013b0
1411348144
15a114ba9
hex6d6ad60

114732384 has 96 divisors (see below), whose sum is σ = 327045600. Its totient is φ = 35008512.

The previous prime is 114732361. The next prime is 114732433. The reversal of 114732384 is 483237411.

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

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, 185644 + ... + 186260.

It is an arithmetic number, because the mean of its divisors is an integer number (3406725).

Almost surely, 2114732384 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 114732384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163522800).

114732384 is an abundant number, since it is smaller than the sum of its proper divisors (212313216).

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

114732384 is a wasteful number, since it uses less digits than its factorization.

114732384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 784 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 114732384 is about 10711.3203667895. The cubic root of 114732384 is about 485.9169022517.

Adding to 114732384 its reverse (483237411), we get a palindrome (597969795).

The spelling of 114732384 in words is "one hundred fourteen million, seven hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 149 156 208 298 312 416 447 596 617 624 894 1192 1234 1248 1788 1851 1937 2384 2468 3576 3702 3874 4768 4936 5811 7152 7404 7748 8021 9872 11622 14304 14808 15496 16042 19744 23244 24063 29616 30992 32084 46488 48126 59232 61984 64168 91933 92976 96252 128336 183866 185952 192504 256672 275799 367732 385008 551598 735464 770016 1103196 1195129 1470928 2206392 2390258 2941856 3585387 4412784 4780516 7170774 8825568 9561032 14341548 19122064 28683096 38244128 57366192 114732384