Search a number
-
+
115066380 = 2235111313411
BaseRepresentation
bin1101101101111…
…00011000001100
322000111222101210
412312330120030
5213424111010
615230134420
72565022332
oct666743014
9260458353
10115066380
1159a52090
1232651410
131aaba420
14113d3b52
15a17db20
hex6dbc60c

115066380 has 96 divisors (see below), whose sum is σ = 378540288. Its totient is φ = 25747200.

The previous prime is 115066361. The next prime is 115066381. The reversal of 115066380 is 83660511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (115066381) 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, 1875 + ... + 15285.

It is an arithmetic number, because the mean of its divisors is an integer number (3943128).

Almost surely, 2115066380 is an apocalyptic number.

115066380 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 115066380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189270144).

115066380 is an abundant number, since it is smaller than the sum of its proper divisors (263473908).

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

115066380 is a wasteful number, since it uses less digits than its factorization.

115066380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13447 (or 13445 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 115066380 is about 10726.8998317314. The cubic root of 115066380 is about 486.3879609768.

The spelling of 115066380 in words is "one hundred fifteen million, sixty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 13411 26822 40233 53644 67055 80466 134110 147521 160932 174343 201165 268220 295042 348686 402330 442563 523029 590084 697372 737605 804660 871715 885126 1046058 1475210 1743430 1770252 1917773 2092116 2212815 2615145 2950420 3486860 3835546 4425630 5230290 5753319 7671092 8851260 9588865 10460580 11506638 19177730 23013276 28766595 38355460 57533190 115066380