Search a number
-
+
116006480 = 2452367941
BaseRepresentation
bin1101110101000…
…01111001010000
322002021201222022
412322201321100
5214144201410
615302231012
72606016212
oct672417120
9262251868
10116006480
115a534427
1232a25468
131b0592b5
141159a5b2
15a2b7455
hex6ea1e50

116006480 has 80 divisors (see below), whose sum is σ = 285945984. Its totient is φ = 43676160.

The previous prime is 116006477. The next prime is 116006491. The reversal of 116006480 is 84600611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 122810 + ... + 123750.

Almost surely, 2116006480 is an apocalyptic number.

116006480 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 116006480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142972992).

116006480 is an abundant number, since it is smaller than the sum of its proper divisors (169939504).

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

116006480 is a wasteful number, since it uses less digits than its factorization.

116006480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 116006480 is about 10770.6304365158. The cubic root of 116006480 is about 487.7089772466.

The spelling of 116006480 in words is "one hundred sixteen million, six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 67 80 92 115 134 184 230 268 335 368 460 536 670 920 941 1072 1340 1541 1840 1882 2680 3082 3764 4705 5360 6164 7528 7705 9410 12328 15056 15410 18820 21643 24656 30820 37640 43286 61640 63047 75280 86572 108215 123280 126094 173144 216430 252188 315235 346288 432860 504376 630470 865720 1008752 1260940 1450081 1731440 2521880 2900162 5043760 5800324 7250405 11600648 14500810 23201296 29001620 58003240 116006480