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114204320 = 25529151163
BaseRepresentation
bin1101100111010…
…01111010100000
321221220011212122
412303221322200
5213214014240
615155443412
72554502126
oct663517240
9257804778
10114204320
115951343a
12322b6568
131a877c29
141124b916
15a05d4b5
hex6ce9ea0

114204320 has 96 divisors (see below), whose sum is σ = 282683520. Its totient is φ = 43545600.

The previous prime is 114204319. The next prime is 114204373. The reversal of 114204320 is 23402411.

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, 700559 + ... + 700721.

It is an arithmetic number, because the mean of its divisors is an integer number (2944620).

Almost surely, 2114204320 is an apocalyptic number.

114204320 is a gapful number since it is divisible by the number (10) 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 114204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141341760).

114204320 is an abundant number, since it is smaller than the sum of its proper divisors (168479200).

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

114204320 is a wasteful number, since it uses less digits than its factorization.

114204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 114204320 is about 10686.6421293126. The cubic root of 114204320 is about 485.1702665017.

Adding to 114204320 its reverse (23402411), we get a palindrome (137606731).

The spelling of 114204320 in words is "one hundred fourteen million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 151 160 163 232 290 302 326 464 580 604 652 755 815 928 1160 1208 1304 1510 1630 2320 2416 2608 3020 3260 4379 4640 4727 4832 5216 6040 6520 8758 9454 12080 13040 17516 18908 21895 23635 24160 24613 26080 35032 37816 43790 47270 49226 70064 75632 87580 94540 98452 123065 140128 151264 175160 189080 196904 246130 350320 378160 393808 492260 700640 713777 756320 787616 984520 1427554 1969040 2855108 3568885 3938080 5710216 7137770 11420432 14275540 22840864 28551080 57102160 114204320