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115648380 = 22325897219
BaseRepresentation
bin1101110010010…
…10011101111100
322001121112202100
412321022131330
5214101222010
615250425100
72602665201
oct671123574
9261545670
10115648380
115a30a381
1232892190
131ac622c3
1411505ca8
15a2462c0
hex6e4a77c

115648380 has 72 divisors (see below), whose sum is σ = 354790800. Its totient is φ = 30488832.

The previous prime is 115648373. The next prime is 115648391. The reversal of 115648380 is 83846511.

115648380 is a `hidden beast` number, since 1 + 1 + 5 + 648 + 3 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12411 + ... + 19629.

It is an arithmetic number, because the mean of its divisors is an integer number (4927650).

Almost surely, 2115648380 is an apocalyptic number.

115648380 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 115648380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177395400).

115648380 is an abundant number, since it is smaller than the sum of its proper divisors (239142420).

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

115648380 is a wasteful number, since it uses less digits than its factorization.

115648380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7323 (or 7318 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 115648380 is about 10753.9936767696. The cubic root of 115648380 is about 487.2066242719.

The spelling of 115648380 in words is "one hundred fifteen million, six hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 4005 5340 7219 8010 14438 16020 21657 28876 36095 43314 64971 72190 86628 108285 129942 144380 216570 259884 324855 433140 642491 649710 1284982 1299420 1927473 2569964 3212455 3854946 5782419 6424910 7709892 9637365 11564838 12849820 19274730 23129676 28912095 38549460 57824190 115648380