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114005910 = 23517317211
BaseRepresentation
bin1101100101110…
…01011110010110
321221112002201010
412302321132112
5213141142120
615151313050
72553014514
oct662713626
9257462633
10114005910
1159398367
123221b786
131a808825
14111d94b4
15a01e7e0
hex6cb9796

114005910 has 64 divisors (see below), whose sum is σ = 299096064. Its totient is φ = 27686400.

The previous prime is 114005891. The next prime is 114005911. The reversal of 114005910 is 19500411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114005911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12205 + ... + 19415.

It is an arithmetic number, because the mean of its divisors is an integer number (4673376).

Almost surely, 2114005910 is an apocalyptic number.

114005910 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 114005910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149548032).

114005910 is an abundant number, since it is smaller than the sum of its proper divisors (185090154).

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

114005910 is a wasteful number, since it uses less digits than its factorization.

114005910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7269.

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 114005910 is about 10677.3550095518. The cubic root of 114005910 is about 484.8891375190.

The spelling of 114005910 in words is "one hundred fourteen million, five thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2635 3162 5270 7211 7905 14422 15810 21633 36055 43266 72110 108165 122587 216330 223541 245174 367761 447082 612935 670623 735522 1117705 1225870 1341246 1838805 2235410 3353115 3677610 3800197 6706230 7600394 11400591 19000985 22801182 38001970 57002955 114005910