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116478208 = 2871119311
BaseRepresentation
bin1101111000101…
…01000100000000
322010011201001201
412330111010000
5214304300313
615320310544
72613022420
oct674250400
9263151051
10116478208
115a826890
1233012454
131b192c22
1411680480
15a35c0dd
hex6f15100

116478208 has 144 divisors (see below), whose sum is σ = 306109440. Its totient is φ = 42854400.

The previous prime is 116478157. The next prime is 116478209. The reversal of 116478208 is 802874611.

It is not an unprimeable number, because it can be changed into a prime (116478209) 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, 374373 + ... + 374683.

It is an arithmetic number, because the mean of its divisors is an integer number (2125760).

Almost surely, 2116478208 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 116478208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153054720).

116478208 is an abundant number, since it is smaller than the sum of its proper divisors (189631232).

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

116478208 is a wasteful number, since it uses less digits than its factorization.

116478208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 116478208 is about 10792.5070303429. The cubic root of 116478208 is about 488.3691554158.

The spelling of 116478208 in words is "one hundred sixteen million, four hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 128 133 152 154 176 209 224 256 266 304 308 311 352 418 448 532 608 616 622 704 836 896 1064 1216 1232 1244 1408 1463 1672 1792 2128 2177 2432 2464 2488 2816 2926 3344 3421 4256 4354 4864 4928 4976 5852 5909 6688 6842 8512 8708 9856 9952 11704 11818 13376 13684 17024 17416 19712 19904 23408 23636 23947 26752 27368 34048 34832 39808 41363 46816 47272 47894 53504 54736 64999 69664 79616 82726 93632 94544 95788 109472 129998 139328 165452 187264 189088 191576 218944 259996 278656 330904 374528 378176 383152 437888 454993 519992 557312 661808 756352 766304 875776 909986 1039984 1323616 1512704 1532608 1819972 2079968 2647232 3065216 3639944 4159936 5294464 6130432 7279888 8319872 10588928 14559776 16639744 29119552 58239104 116478208