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116486304 = 25311472347
BaseRepresentation
bin1101111000101…
…11000010100000
322010012010011120
412330113002200
5214310030204
615320412240
72613055134
oct674270240
9263163146
10116486304
115a831980
1233017080
131b19680c
14116833c4
15a35e6d9
hex6f170a0

116486304 has 96 divisors (see below), whose sum is σ = 340816896. Its totient is φ = 34533120.

The previous prime is 116486303. The next prime is 116486311. The reversal of 116486304 is 403684611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (116486303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48459 + ... + 50805.

It is an arithmetic number, because the mean of its divisors is an integer number (3550176).

Almost surely, 2116486304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116486304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170408448).

116486304 is an abundant number, since it is smaller than the sum of its proper divisors (224330592).

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

116486304 is a wasteful number, since it uses less digits than its factorization.

116486304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 116486304 is about 10792.8820988650. The cubic root of 116486304 is about 488.3804701076.

The spelling of 116486304 in words is "one hundred sixteen million, four hundred eighty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 2347 3102 4136 4512 4694 6204 7041 8272 9388 12408 14082 16544 18776 24816 25817 28164 37552 49632 51634 56328 75104 77451 103268 110309 112656 154902 206536 220618 225312 309804 330927 413072 441236 619608 661854 826144 882472 1213399 1239216 1323708 1764944 2426798 2478432 2647416 3529888 3640197 4853596 5294832 7280394 9707192 10589664 14560788 19414384 29121576 38828768 58243152 116486304