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115228360 = 235133753113
BaseRepresentation
bin1101101111000…
…11111011001000
322000211012121001
412313203323020
5213444301420
615233424344
72566265512
oct667437310
9260735531
10115228360
115a052855
123270b0b4
131ab46080
1411436bb2
15a1b1b0a
hex6de3ec8

115228360 has 128 divisors (see below), whose sum is σ = 294749280. Its totient is φ = 40255488.

The previous prime is 115228343. The next prime is 115228361. The reversal of 115228360 is 63822511.

It can be written as a sum of positive squares in 16 ways, for example, as 2316484 + 112911876 = 1522^2 + 10626^2 .

It is not an unprimeable number, because it can be changed into a prime (115228361) 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, 1019664 + ... + 1019776.

Almost surely, 2115228360 is an apocalyptic number.

115228360 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 115228360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147374640).

115228360 is an abundant number, since it is smaller than the sum of its proper divisors (179520920).

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

115228360 is a wasteful number, since it uses less digits than its factorization.

115228360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 115228360 is about 10734.4473541957. The cubic root of 115228360 is about 486.6160848995.

The spelling of 115228360 in words is "one hundred fifteen million, two hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 53 65 74 104 106 113 130 148 185 212 226 260 265 296 370 424 452 481 520 530 565 689 740 904 962 1060 1130 1378 1469 1480 1924 1961 2120 2260 2405 2756 2938 3445 3848 3922 4181 4520 4810 5512 5876 5989 6890 7345 7844 8362 9620 9805 11752 11978 13780 14690 15688 16724 19240 19610 20905 23956 25493 27560 29380 29945 33448 39220 41810 47912 50986 54353 58760 59890 77857 78440 83620 101972 108706 119780 127465 155714 167240 203944 217412 221593 239560 254930 271765 311428 389285 434824 443186 509860 543530 622856 778570 886372 1019720 1087060 1107965 1557140 1772744 2174120 2215930 2880709 3114280 4431860 5761418 8863720 11522836 14403545 23045672 28807090 57614180 115228360