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114825018 = 2371119103127
BaseRepresentation
bin1101101100000…
…01011100111010
322000001201022110
412312001130322
5213343400033
615221033150
72562665550
oct666013472
9260051273
10114825018
11598a7810
12325557b6
131aa345c9
141136dbd0
15a132363
hex6d8173a

114825018 has 128 divisors (see below), whose sum is σ = 306708480. Its totient is φ = 27760320.

The previous prime is 114825013. The next prime is 114825047. The reversal of 114825018 is 810528411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114825013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904071 + ... + 904197.

It is an arithmetic number, because the mean of its divisors is an integer number (2396160).

Almost surely, 2114825018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114825018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153354240).

114825018 is an abundant number, since it is smaller than the sum of its proper divisors (191883462).

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

114825018 is a wasteful number, since it uses less digits than its factorization.

114825018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 114825018 is about 10715.6436110949. The cubic root of 114825018 is about 486.0476421991.

The spelling of 114825018 in words is "one hundred fourteen million, eight hundred twenty-five thousand, eighteen".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 103 114 127 133 154 206 209 231 254 266 309 381 399 418 462 618 627 721 762 798 889 1133 1254 1397 1442 1463 1778 1957 2163 2266 2413 2667 2794 2926 3399 3914 4191 4326 4389 4826 5334 5871 6798 7239 7931 8382 8778 9779 11742 13081 13699 14478 15862 16891 19558 21527 23793 26162 26543 27398 29337 33782 39243 41097 43054 47586 50673 53086 58674 64581 78486 79629 82194 91567 101346 129162 143891 150689 159258 183134 185801 248539 274701 287782 301378 371602 431673 452067 497078 549402 557403 745617 863346 904134 1007237 1114806 1491234 1739773 2014474 2733929 3021711 3479546 5219319 5467858 6043422 8201787 10438638 16403574 19137503 38275006 57412509 114825018