Search a number
-
+
115130310 = 235193753103
BaseRepresentation
bin1101101110010…
…11111111000110
322000122020002120
412313023333012
5213433132220
615231350410
72565406611
oct667137706
9260566076
10115130310
1159a96119
1232682406
131ab10559
141140d178
15a192a40
hex6dcbfc6

115130310 has 128 divisors (see below), whose sum is σ = 307307520. Its totient is φ = 27495936.

The previous prime is 115130303. The next prime is 115130317. The reversal of 115130310 is 13031511.

115130310 = T29 + T30 + ... + T883.

It is an interprime number because it is at equal distance from previous prime (115130303) and next prime (115130317).

It is a super-2 number, since 2×1151303102 = 26509976561392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 115130310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115130317) 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, 1117719 + ... + 1117821.

It is an arithmetic number, because the mean of its divisors is an integer number (2400840).

Almost surely, 2115130310 is an apocalyptic number.

115130310 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 115130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153653760).

115130310 is an abundant number, since it is smaller than the sum of its proper divisors (192177210).

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

115130310 is a wasteful number, since it uses less digits than its factorization.

115130310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 115130310 is about 10729.8793096661. The cubic root of 115130310 is about 486.4780221092.

Adding to 115130310 its reverse (13031511), we get a palindrome (128161821).

It can be divided in two parts, 115130 and 310, that added together give a triangular number (115440 = T480).

The spelling of 115130310 in words is "one hundred fifteen million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 53 57 74 95 103 106 111 114 159 185 190 206 222 265 285 309 318 370 515 530 555 570 618 703 795 1007 1030 1110 1406 1545 1590 1957 1961 2014 2109 3021 3090 3515 3811 3914 3922 4218 5035 5459 5871 5883 6042 7030 7622 9785 9805 10070 10545 10918 11433 11742 11766 15105 16377 19055 19570 19610 21090 22866 27295 29355 29415 30210 32754 37259 38110 54590 57165 58710 58830 72409 74518 81885 103721 111777 114330 144818 163770 186295 201983 207442 217227 223554 311163 362045 372590 403966 434454 518605 558885 605949 622326 724090 1009915 1037210 1086135 1117770 1211898 1555815 2019830 2172270 3029745 3111630 3837677 6059490 7675354 11513031 19188385 23026062 38376770 57565155 115130310