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114847668 = 223213243439
BaseRepresentation
bin1101101100001…
…10111110110100
322000002212101100
412312012332310
5213400111133
615221330100
72563121565
oct666067664
9260085340
10114847668
1159912831
1232566930
131aa41a00
141137816c
15a138e13
hex6d86fb4

114847668 has 108 divisors (see below), whose sum is σ = 322402080. Its totient is φ = 34437312.

The previous prime is 114847657. The next prime is 114847673. The reversal of 114847668 is 866748411.

114847668 is a `hidden beast` number, since 114 + 8 + 476 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261393 + ... + 261831.

Almost surely, 2114847668 is an apocalyptic number.

114847668 is a gapful number since it is divisible by the number (18) 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 114847668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161201040).

114847668 is an abundant number, since it is smaller than the sum of its proper divisors (207554412).

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

114847668 is a wasteful number, since it uses less digits than its factorization.

114847668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 500 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 114847668 is about 10716.7004250375. The cubic root of 114847668 is about 486.0795988101.

The spelling of 114847668 in words is "one hundred fourteen million, eight hundred forty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 169 172 234 258 338 387 439 468 507 516 559 676 774 878 1014 1118 1317 1521 1548 1677 1756 2028 2236 2634 3042 3354 3951 5031 5268 5707 6084 6708 7267 7902 10062 11414 14534 15804 17121 18877 20124 21801 22828 29068 34242 37754 43602 51363 56631 65403 68484 74191 75508 87204 102726 113262 130806 148382 169893 205452 222573 226524 245401 261612 296764 339786 445146 490802 667719 679572 736203 890292 981604 1335438 1472406 2208609 2670876 2944812 3190213 4417218 6380426 8834436 9570639 12760852 19141278 28711917 38282556 57423834 114847668