Search a number
-
+
115068300 = 22352537237
BaseRepresentation
bin1101101101111…
…00110110001100
322000112002000220
412312330312030
5213424141200
615230151340
72565031044
oct666746614
9260462026
10115068300
1159a53576
1232652550
131aabb269
14113d4724
15a17e4a0
hex6dbcd8c

115068300 has 72 divisors (see below), whose sum is σ = 339259536. Its totient is φ = 30101760.

The previous prime is 115068299. The next prime is 115068307. The reversal of 115068300 is 3860511.

It is not an unprimeable number, because it can be changed into a prime (115068307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12282 + ... + 19518.

It is an arithmetic number, because the mean of its divisors is an integer number (4711938).

Almost surely, 2115068300 is an apocalyptic number.

115068300 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 115068300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169629768).

115068300 is an abundant number, since it is smaller than the sum of its proper divisors (224191236).

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

115068300 is a wasteful number, since it uses less digits than its factorization.

115068300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7307 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 115068300 is about 10726.9893259945. The cubic root of 115068300 is about 486.3906662549.

The spelling of 115068300 in words is "one hundred fifteen million, sixty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7237 7950 14474 15900 21711 28948 36185 43422 72370 86844 108555 144740 180925 217110 361850 383561 434220 542775 723700 767122 1085550 1150683 1534244 1917805 2171100 2301366 3835610 4602732 5753415 7671220 9589025 11506830 19178050 23013660 28767075 38356100 57534150 115068300