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114210140 = 225111989307
BaseRepresentation
bin1101100111010…
…11010101011100
321221220110212012
412303223111130
5213214211030
615155530352
72554525112
oct663532534
9257813765
10114210140
1159517850
12322b99b8
131a87a785
141124dab2
15a060095
hex6ceb55c

114210140 has 96 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 38776320.

The previous prime is 114210127. The next prime is 114210247. The reversal of 114210140 is 41012411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371867 + ... + 372173.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2114210140 is an apocalyptic number.

114210140 is a gapful number since it is divisible by the number (10) 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 114210140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

114210140 is an abundant number, since it is smaller than the sum of its proper divisors (165207460).

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

114210140 is a wasteful number, since it uses less digits than its factorization.

114210140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 114210140 is about 10686.9144284026. The cubic root of 114210140 is about 485.1785079967.

Adding to 114210140 its reverse (41012411), we get a palindrome (155222551).

The spelling of 114210140 in words is "one hundred fourteen million, two hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 89 95 110 178 190 209 220 307 356 380 418 445 614 836 890 979 1045 1228 1535 1691 1780 1958 2090 3070 3377 3382 3916 4180 4895 5833 6140 6754 6764 8455 9790 11666 13508 16885 16910 18601 19580 23332 27323 29165 33770 33820 37202 54646 58330 64163 67540 74404 93005 109292 116660 128326 136615 186010 256652 273230 300553 320815 372020 519137 546460 601106 641630 1038274 1202212 1283260 1502765 2076548 2595685 3005530 5191370 5710507 6011060 10382740 11421014 22842028 28552535 57105070 114210140