Search a number
-
+
114300396 = 22357107157
BaseRepresentation
bin1101101000000…
…01010111101100
321222002001200000
412310001113230
5213230103041
615201504300
72555352210
oct664012754
9258061600
10114300396
1159579641
1232342090
131a8ac892
1411274940
15a07bbb6
hex6d015ec

114300396 has 144 divisors (see below), whose sum is σ = 347832576. Its totient is φ = 32145984.

The previous prime is 114300377. The next prime is 114300413. The reversal of 114300396 is 693003411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727950 + ... + 728106.

It is an arithmetic number, because the mean of its divisors is an integer number (2415504).

Almost surely, 2114300396 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 114300396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173916288).

114300396 is an abundant number, since it is smaller than the sum of its proper divisors (233532180).

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

114300396 is a wasteful number, since it uses less digits than its factorization.

114300396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 114300396 is about 10691.1363287538. The cubic root of 114300396 is about 485.3062804847.

The spelling of 114300396 in words is "one hundred fourteen million, three hundred thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 107 108 126 157 162 189 214 243 252 314 321 324 378 428 471 486 567 628 642 749 756 942 963 972 1099 1134 1284 1413 1498 1701 1884 1926 2198 2247 2268 2826 2889 2996 3297 3402 3852 4239 4396 4494 5652 5778 6594 6741 6804 8478 8667 8988 9891 11556 12717 13188 13482 16799 16956 17334 19782 20223 25434 26001 26964 29673 33598 34668 38151 39564 40446 50397 50868 52002 59346 60669 67196 76302 80892 89019 100794 104004 117593 118692 121338 151191 152604 178038 182007 201588 235186 242676 267057 302382 352779 356076 364014 453573 470372 534114 604764 705558 728028 907146 1058337 1068228 1360719 1411116 1814292 2116674 2721438 3175011 4082157 4233348 5442876 6350022 8164314 9525033 12700044 16328628 19050066 28575099 38100132 57150198 114300396