Search a number
-
+
114194430 = 23257414421
BaseRepresentation
bin1101100111001…
…11011111111110
321221212200022100
412303213133332
5213213210210
615155325530
72554431240
oct663473776
9257780270
10114194430
1159506a69
12322b08a6
131a87358c
1411248090
15a05a5c0
hex6ce77fe

114194430 has 96 divisors (see below), whose sum is σ = 347675328. Its totient is φ = 25459200.

The previous prime is 114194417. The next prime is 114194447. The reversal of 114194430 is 34491411.

114194430 is a `hidden beast` number, since 1 + 141 + 94 + 430 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114194394 and 114194403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23620 + ... + 28040.

It is an arithmetic number, because the mean of its divisors is an integer number (3621618).

Almost surely, 2114194430 is an apocalyptic number.

114194430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114194430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173837664).

114194430 is an abundant number, since it is smaller than the sum of its proper divisors (233480898).

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

114194430 is a wasteful number, since it uses less digits than its factorization.

114194430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114194430 is about 10686.1793920933. The cubic root of 114194430 is about 485.1562609824.

The spelling of 114194430 in words is "one hundred fourteen million, one hundred ninety-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 861 1230 1435 1722 1845 2583 2870 3690 4305 4421 5166 8610 8842 12915 13263 22105 25830 26526 30947 39789 44210 61894 66315 79578 92841 132630 154735 181261 185682 198945 278523 309470 362522 397890 464205 543783 557046 906305 928410 1087566 1268827 1392615 1631349 1812610 2537654 2718915 2785230 3262698 3806481 5437830 6344135 7612962 8156745 11419443 12688270 16313490 19032405 22838886 38064810 57097215 114194430