Search a number
-
+
114425300 = 2252111729211
BaseRepresentation
bin1101101000111…
…11110111010100
321222022102000002
412310133313110
5213243102200
615204310432
72556412313
oct664376724
9258272002
10114425300
1159654470
12323a2418
131a9246a2
14112a827a
15a0a3bd5
hex6d1fdd4

114425300 has 144 divisors (see below), whose sum is σ = 298105920. Its totient is φ = 37632000.

The previous prime is 114425293. The next prime is 114425327. The reversal of 114425300 is 3524411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542195 + ... + 542405.

It is an arithmetic number, because the mean of its divisors is an integer number (2070180).

Almost surely, 2114425300 is an apocalyptic number.

114425300 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 114425300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149052960).

114425300 is an abundant number, since it is smaller than the sum of its proper divisors (183680620).

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

114425300 is a wasteful number, since it uses less digits than its factorization.

114425300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 114425300 is about 10696.9762082562. The cubic root of 114425300 is about 485.4829921181.

Adding to 114425300 its reverse (3524411), we get a palindrome (117949711).

The spelling of 114425300 in words is "one hundred fourteen million, four hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 29 34 44 50 55 58 68 85 100 110 116 145 170 187 211 220 275 290 319 340 374 422 425 493 550 580 638 725 748 844 850 935 986 1055 1100 1276 1450 1595 1700 1870 1972 2110 2321 2465 2900 3190 3587 3740 4220 4642 4675 4930 5275 5423 6119 6380 7174 7975 9284 9350 9860 10550 10846 11605 12238 12325 14348 15950 17935 18700 21100 21692 23210 24476 24650 27115 30595 31900 35870 39457 46420 49300 54230 58025 61190 67309 71740 78914 89675 104023 108460 116050 122380 134618 135575 152975 157828 179350 197285 208046 232100 269236 271150 305950 336545 358700 394570 416092 520115 542300 611900 673090 789140 986425 1040230 1144253 1346180 1682725 1972850 2080460 2288506 2600575 3365450 3945700 4577012 5201150 5721265 6730900 10402300 11442530 22885060 28606325 57212650 114425300