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115280580 = 223510917627
BaseRepresentation
bin1101101111100…
…00101011000100
322000220212020010
412313300223010
5214002434310
615234510220
72566603662
oct667605304
9260825203
10115280580
115a089008
1232735370
131ab63a7c
141144bc32
15a1c2320
hex6df0ac4

115280580 has 48 divisors (see below), whose sum is σ = 325765440. Its totient is φ = 30457728.

The previous prime is 115280573. The next prime is 115280591. The reversal of 115280580 is 85082511.

It is a super-3 number, since 3×1152805803 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2274 + ... + 15353.

It is an arithmetic number, because the mean of its divisors is an integer number (6786780).

Almost surely, 2115280580 is an apocalyptic number.

115280580 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 115280580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162882720).

115280580 is an abundant number, since it is smaller than the sum of its proper divisors (210484860).

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

115280580 is a wasteful number, since it uses less digits than its factorization.

115280580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17748 (or 17746 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 115280580 is about 10736.8794349196. The cubic root of 115280580 is about 486.6895831664.

The spelling of 115280580 in words is "one hundred fifteen million, two hundred eighty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 17627 35254 52881 70508 88135 105762 176270 211524 264405 352540 528810 1057620 1921343 3842686 5764029 7685372 9606715 11528058 19213430 23056116 28820145 38426860 57640290 115280580