Search a number
-
+
115379280 = 24325191839
BaseRepresentation
bin1101110000010…
…00110001010000
322001002212121200
412320020301100
5214014114110
615240551200
72600464512
oct670106120
9261085550
10115379280
115a146185
1232782500
131ab99983
1411475bb2
15a1e16c0
hex6e08c50

115379280 has 120 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 30570240.

The previous prime is 115379273. The next prime is 115379281. The reversal of 115379280 is 82973511.

115379280 is a `hidden beast` number, since 1 + 1 + 5 + 379 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115379281) 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, 137101 + ... + 137939.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2115379280 is an apocalyptic number.

115379280 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 115379280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

115379280 is an abundant number, since it is smaller than the sum of its proper divisors (274595760).

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

115379280 is a wasteful number, since it uses less digits than its factorization.

115379280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 115379280 is about 10741.4747590822. The cubic root of 115379280 is about 486.8284402034.

The spelling of 115379280 in words is "one hundred fifteen million, three hundred seventy-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 191 240 360 382 573 720 764 839 955 1146 1528 1678 1719 1910 2292 2517 2865 3056 3356 3438 3820 4195 4584 5034 5730 6712 6876 7551 7640 8390 8595 9168 10068 11460 12585 13424 13752 15102 15280 16780 17190 20136 22920 25170 27504 30204 33560 34380 37755 40272 45840 50340 60408 67120 68760 75510 100680 120816 137520 151020 160249 201360 302040 320498 480747 604080 640996 801245 961494 1281992 1442241 1602490 1922988 2403735 2563984 2884482 3204980 3845976 4807470 5768964 6409960 7211205 7691952 9614940 11537928 12819920 14422410 19229880 23075856 28844820 38459760 57689640 115379280