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116146080 = 2532580657
BaseRepresentation
bin1101110110000…
…11111110100000
322002112211110200
412323003332200
5214213133310
615305225200
72610140211
oct673037640
9262484420
10116146080
115a61a2a6
1232a92200
131b0a79bb
14115d5408
15a2e39c0
hex6ec3fa0

116146080 has 72 divisors (see below), whose sum is σ = 396353412. Its totient is φ = 30971904.

The previous prime is 116146027. The next prime is 116146087. The reversal of 116146080 is 80641611.

It can be written as a sum of positive squares in 2 ways, for example, as 104775696 + 11370384 = 10236^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (116146087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38889 + ... + 41768.

Almost surely, 2116146080 is an apocalyptic number.

116146080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116146080 is an abundant number, since it is smaller than the sum of its proper divisors (280207332).

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

116146080 is a wasteful number, since it uses less digits than its factorization.

116146080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80678 (or 80667 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116146080 is about 10777.1090743297. The cubic root of 116146080 is about 487.9045320727.

Adding to 116146080 its reverse (80641611), we get a palindrome (196787691).

The spelling of 116146080 in words is "one hundred sixteen million, one hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 80657 161314 241971 322628 403285 483942 645256 725913 806570 967884 1209855 1290512 1451826 1613140 1935768 2419710 2581024 2903652 3226280 3629565 3871536 4839420 5807304 6452560 7259130 7743072 9678840 11614608 12905120 14518260 19357680 23229216 29036520 38715360 58073040 116146080