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114603630 = 235171911827
BaseRepresentation
bin1101101010010…
…11011001101110
321222122110121220
412311023121232
5213314304010
615212204210
72561054241
oct665133156
9258573556
10114603630
1159766449
1232469666
131a9878cb
1411313258
15a0db970
hex6d4b66e

114603630 has 64 divisors (see below), whose sum is σ = 306581760. Its totient is φ = 27247104.

The previous prime is 114603617. The next prime is 114603631. The reversal of 114603630 is 36306411.

It is a self number, because there is not a number n which added to its sum of digits gives 114603630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114603631) 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, 3777 + ... + 15603.

It is an arithmetic number, because the mean of its divisors is an integer number (4790340).

Almost surely, 2114603630 is an apocalyptic number.

114603630 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 114603630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153290880).

114603630 is an abundant number, since it is smaller than the sum of its proper divisors (191978130).

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

114603630 is a wasteful number, since it uses less digits than its factorization.

114603630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11873.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 114603630 is about 10705.3084962555. The cubic root of 114603630 is about 485.7350670380.

The spelling of 114603630 in words is "one hundred fourteen million, six hundred three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 3230 4845 9690 11827 23654 35481 59135 70962 118270 177405 201059 224713 354810 402118 449426 603177 674139 1005295 1123565 1206354 1348278 2010590 2247130 3015885 3370695 3820121 6031770 6741390 7640242 11460363 19100605 22920726 38201210 57301815 114603630