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114540030 = 232511127911
BaseRepresentation
bin1101101001110…
…11110111111110
321222112020101100
412310323313332
5213310240110
615210553530
72560400643
oct664736776
9258466340
10114540030
1159722690
12324388a6
131a964987
14112d7dca
15a0c7bc0
hex6d3bdfe

114540030 has 96 divisors (see below), whose sum is σ = 327794688. Its totient is φ = 27518400.

The previous prime is 114540029. The next prime is 114540059. The reversal of 114540030 is 30045411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114539985 and 114540012.

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, 125275 + ... + 126185.

It is an arithmetic number, because the mean of its divisors is an integer number (3414528).

Almost surely, 2114540030 is an apocalyptic number.

114540030 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 114540030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163897344).

114540030 is an abundant number, since it is smaller than the sum of its proper divisors (213254658).

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

114540030 is a wasteful number, since it uses less digits than its factorization.

114540030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114540030 is about 10702.3375951238. The cubic root of 114540030 is about 485.6451965085.

Adding to 114540030 its reverse (30045411), we get a palindrome (144585441).

The spelling of 114540030 in words is "one hundred fourteen million, five hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 127 165 198 254 330 381 495 635 762 911 990 1143 1270 1397 1822 1905 2286 2733 2794 3810 4191 4555 5466 5715 6985 8199 8382 9110 10021 11430 12573 13665 13970 16398 20042 20955 25146 27330 30063 40995 41910 50105 60126 62865 81990 90189 100210 115697 125730 150315 180378 231394 300630 347091 450945 578485 694182 901890 1041273 1156970 1272667 1735455 2082546 2545334 3470910 3818001 5206365 6363335 7636002 10412730 11454003 12726670 19090005 22908006 38180010 57270015 114540030