Search a number
-
+
115329360 = 243517231229
BaseRepresentation
bin1101101111111…
…00100101010000
322001000100010210
412313330211100
5214011014420
615235524120
72600166126
oct667744520
9261010123
10115329360
115a111723
1232759640
131ab80033
1411461916
15a1d19e0
hex6dfc950

115329360 has 160 divisors (see below), whose sum is σ = 395331840. Its totient is φ = 27664384.

The previous prime is 115329359. The next prime is 115329367. The reversal of 115329360 is 63923511.

It is a super-2 number, since 2×1153293602 = 26601722556019200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115329367) 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, 93226 + ... + 94454.

It is an arithmetic number, because the mean of its divisors is an integer number (2470824).

Almost surely, 2115329360 is an apocalyptic number.

115329360 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 115329360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197665920).

115329360 is an abundant number, since it is smaller than the sum of its proper divisors (280002480).

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

115329360 is a wasteful number, since it uses less digits than its factorization.

115329360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 115329360 is about 10739.1508044165. The cubic root of 115329360 is about 486.7582196765.

The spelling of 115329360 in words is "one hundred fifteen million, three hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 30 34 40 46 48 51 60 68 69 80 85 92 102 115 120 136 138 170 184 204 230 240 255 272 276 340 345 368 391 408 460 510 552 680 690 782 816 920 1020 1104 1173 1229 1360 1380 1564 1840 1955 2040 2346 2458 2760 3128 3687 3910 4080 4692 4916 5520 5865 6145 6256 7374 7820 9384 9832 11730 12290 14748 15640 18435 18768 19664 20893 23460 24580 28267 29496 31280 36870 41786 46920 49160 56534 58992 62679 73740 83572 84801 93840 98320 104465 113068 125358 141335 147480 167144 169602 208930 226136 250716 282670 294960 313395 334288 339204 417860 424005 452272 480539 501432 565340 626790 678408 835720 848010 961078 1002864 1130680 1253580 1356816 1441617 1671440 1696020 1922156 2261360 2402695 2507160 2883234 3392040 3844312 4805390 5014320 5766468 6784080 7208085 7688624 9610780 11532936 14416170 19221560 23065872 28832340 38443120 57664680 115329360