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116493480 = 233251512143
BaseRepresentation
bin1101111000110…
…00110010101000
322010012111000100
412330120302220
5214310242410
615320505400
72613115065
oct674306250
9263174010
10116493480
115a837304
123301b260
131b199b6c
1411685c6c
15a3618c0
hex6f18ca8

116493480 has 96 divisors (see below), whose sum is σ = 381288960. Its totient is φ = 30844800.

The previous prime is 116493457. The next prime is 116493527. The reversal of 116493480 is 84394611.

116493480 is a `hidden beast` number, since 1 + 1 + 649 + 3 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 53289 + ... + 55431.

It is an arithmetic number, because the mean of its divisors is an integer number (3971760).

Almost surely, 2116493480 is an apocalyptic number.

116493480 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 116493480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190644480).

116493480 is an abundant number, since it is smaller than the sum of its proper divisors (264795480).

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

116493480 is a wasteful number, since it uses less digits than its factorization.

116493480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 116493480 is about 10793.2145350679. The cubic root of 116493480 is about 488.3904986007.

It can be divided in two parts, 11649 and 3480, that added together give a square (15129 = 1232).

The spelling of 116493480 in words is "one hundred sixteen million, four hundred ninety-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 151 180 302 360 453 604 755 906 1208 1359 1510 1812 2143 2265 2718 3020 3624 4286 4530 5436 6040 6429 6795 8572 9060 10715 10872 12858 13590 17144 18120 19287 21430 25716 27180 32145 38574 42860 51432 54360 64290 77148 85720 96435 128580 154296 192870 257160 323593 385740 647186 771480 970779 1294372 1617965 1941558 2588744 2912337 3235930 3883116 4853895 5824674 6471860 7766232 9707790 11649348 12943720 14561685 19415580 23298696 29123370 38831160 58246740 116493480