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115013340 = 2232513232137
BaseRepresentation
bin1101101101011…
…11011011011100
322000102021122100
412312233123130
5213420411330
615225045100
72564411601
oct666573334
9260367570
10115013340
1159a16252
1232626790
131aa9c240
14113bc6a8
15a16d060
hex6daf6dc

115013340 has 144 divisors (see below), whose sum is σ = 392228928. Its totient is φ = 27067392.

The previous prime is 115013309. The next prime is 115013351. The reversal of 115013340 is 43310511.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 52752 + ... + 54888.

It is an arithmetic number, because the mean of its divisors is an integer number (2723812).

Almost surely, 2115013340 is an apocalyptic number.

115013340 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 115013340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196114464).

115013340 is an abundant number, since it is smaller than the sum of its proper divisors (277215588).

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

115013340 is a wasteful number, since it uses less digits than its factorization.

115013340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 115013340 is about 10724.4272574343. The cubic root of 115013340 is about 486.3132157664.

Adding to 115013340 its reverse (43310511), we get a palindrome (158323851).

It can be divided in two parts, 11501 and 3340, that added together give a palindrome (14841).

The spelling of 115013340 in words is "one hundred fifteen million, thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2137 2340 2691 2990 3588 4140 4274 4485 5382 5980 6411 8548 8970 10685 10764 12822 13455 17940 19233 21370 25644 26910 27781 32055 38466 42740 49151 53820 55562 64110 76932 83343 96165 98302 111124 128220 138905 147453 166686 192330 196604 245755 250029 277810 294906 333372 384660 416715 442359 491510 500058 555620 589812 638963 737265 833430 884718 983020 1000116 1250145 1277926 1474530 1666860 1769436 1916889 2211795 2500290 2555852 2949060 3194815 3833778 4423590 5000580 5750667 6389630 7667556 8847180 9584445 11501334 12779260 19168890 23002668 28753335 38337780 57506670 115013340