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115696080 = 24335291847
BaseRepresentation
bin1101110010101…
…10000111010000
322001200222012000
412321112013100
5214104233310
615251434000
72603254233
oct671260720
9261628160
10115696080
115a3421a5
12328b5900
131ac7ac26
141151941a
15a2554c0
hex6e561d0

115696080 has 160 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 29772288.

The previous prime is 115696057. The next prime is 115696081. The reversal of 115696080 is 80696511.

115696080 is a `hidden beast` number, since 11 + 569 + 6 + 0 + 80 = 666.

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 (115696081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61717 + ... + 63563.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2115696080 is an apocalyptic number.

115696080 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 115696080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

115696080 is an abundant number, since it is smaller than the sum of its proper divisors (296777520).

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

115696080 is a wasteful number, since it uses less digits than its factorization.

115696080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 115696080 is about 10756.2112288668. The cubic root of 115696080 is about 487.2735990149.

The spelling of 115696080 in words is "one hundred fifteen million, six hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1305 1392 1566 1740 1847 2088 2160 2320 2610 3132 3480 3694 3915 4176 5220 5541 6264 6960 7388 7830 9235 10440 11082 12528 14776 15660 16623 18470 20880 22164 27705 29552 31320 33246 36940 44328 49869 53563 55410 62640 66492 73880 83115 88656 99738 107126 110820 132984 147760 160689 166230 199476 214252 221640 249345 265968 267815 321378 332460 398952 428504 443280 482067 498690 535630 642756 664920 797904 803445 857008 964134 997380 1071260 1285512 1329840 1446201 1606890 1928268 1994760 2142520 2410335 2571024 2892402 3213780 3856536 3989520 4285040 4820670 5784804 6427560 7231005 7713072 9641340 11569608 12855120 14462010 19282680 23139216 28924020 38565360 57848040 115696080