Search a number
-
+
115355310 = 2357297809
BaseRepresentation
bin1101110000000…
…10111010101110
322001001122201220
412320002322232
5214012332220
615240244210
72600334600
oct670027256
9261048656
10115355310
115a12a174
1232770666
131ab8baa5
141146b170
15a1d9540
hex6e02eae

115355310 has 96 divisors (see below), whose sum is σ = 325775520. Its totient is φ = 26062848.

The previous prime is 115355299. The next prime is 115355321. The reversal of 115355310 is 13553511.

It is an interprime number because it is at equal distance from previous prime (115355299) and next prime (115355321).

It is a super-2 number, since 2×1153553102 = 26613695090392200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142186 + ... + 142994.

It is an arithmetic number, because the mean of its divisors is an integer number (3393495).

Almost surely, 2115355310 is an apocalyptic number.

115355310 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 115355310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162887760).

115355310 is an abundant number, since it is smaller than the sum of its proper divisors (210420210).

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

115355310 is a wasteful number, since it uses less digits than its factorization.

115355310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 115355310 is about 10740.3589325497. The cubic root of 115355310 is about 486.7947250629.

The spelling of 115355310 in words is "one hundred fifteen million, three hundred fifty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 97 98 105 147 194 210 245 291 294 485 490 582 679 735 809 970 1358 1455 1470 1618 2037 2427 2910 3395 4045 4074 4753 4854 5663 6790 8090 9506 10185 11326 12135 14259 16989 20370 23765 24270 28315 28518 33978 39641 47530 56630 71295 78473 79282 84945 118923 142590 156946 169890 198205 235419 237846 392365 396410 470838 549311 594615 784730 1098622 1177095 1189230 1647933 2354190 2746555 3295866 3845177 5493110 7690354 8239665 11535531 16479330 19225885 23071062 38451770 57677655 115355310