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114074272 = 2513443619
BaseRepresentation
bin1101100110010…
…10001010100000
321221122120111001
412303022022200
5213200334042
615153001344
72553421024
oct663121240
9257576431
10114074272
1159434764
1232253254
131a830990
1411216384
15a034bb7
hex6cca2a0

114074272 has 48 divisors (see below), whose sum is σ = 242796960. Its totient is φ = 52445952.

The previous prime is 114074269. The next prime is 114074299. The reversal of 114074272 is 272470411.

It is a self number, because there is not a number n which added to its sum of digits gives 114074272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183979 + ... + 184597.

It is an arithmetic number, because the mean of its divisors is an integer number (5058270).

Almost surely, 2114074272 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 114074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121398480).

114074272 is an abundant number, since it is smaller than the sum of its proper divisors (128722688).

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

114074272 is a wasteful number, since it uses less digits than its factorization.

114074272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 114074272 is about 10680.5557907817. Note that the first 3 decimals coincide. The cubic root of 114074272 is about 484.9860370799.

The spelling of 114074272 in words is "one hundred fourteen million, seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 443 619 886 1238 1772 2476 3544 4952 5759 7088 8047 9904 11518 14176 16094 19808 23036 32188 46072 64376 92144 128752 184288 257504 274217 548434 1096868 2193736 3564821 4387472 7129642 8774944 14259284 28518568 57037136 114074272