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115321830 = 235131979197
BaseRepresentation
bin1101101111110…
…10101111100110
322000222221210220
412313322233212
5214010244310
615235425210
72600135151
oct667725746
9260887726
10115321830
115a106aa8
1232755206
131ab79790
141145cc98
15a1ce670
hex6dfabe6

115321830 has 128 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 26417664.

The previous prime is 115321783. The next prime is 115321841. The reversal of 115321830 is 38123511.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 115321830.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585292 + ... + 585488.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2115321830 is an apocalyptic number.

115321830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115321830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

115321830 is an abundant number, since it is smaller than the sum of its proper divisors (204012570).

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

115321830 is a wasteful number, since it uses less digits than its factorization.

115321830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 115321830 is about 10738.8002123142. The cubic root of 115321830 is about 486.7476257591.

The spelling of 115321830 in words is "one hundred fifteen million, three hundred twenty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 79 95 114 130 158 190 195 197 237 247 285 390 394 395 474 494 570 591 741 790 985 1027 1182 1185 1235 1482 1501 1970 2054 2370 2470 2561 2955 3002 3081 3705 3743 4503 5122 5135 5910 6162 7410 7486 7505 7683 9006 10270 11229 12805 15010 15366 15405 15563 18715 19513 22458 22515 25610 30810 31126 37430 38415 39026 45030 46689 48659 56145 58539 76830 77815 93378 97318 97565 112290 117078 145977 155630 195130 202319 233445 243295 291954 292695 295697 404638 466890 486590 585390 591394 606957 729885 887091 1011595 1213914 1459770 1478485 1774182 2023190 2956970 3034785 3844061 4435455 6069570 7688122 8870910 11532183 19220305 23064366 38440610 57660915 115321830