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116084736 = 212324767
BaseRepresentation
bin1101110101101…
…01000000000000
322002102201022200
412322311000000
5214204202421
615304033200
72606463315
oct672650000
9262381280
10116084736
115a5881a9
1232a62800
131b085ac1
14115bad0c
15a2d0726
hex6eb5000

116084736 has 156 divisors (see below), whose sum is σ = 347560512. Its totient is φ = 37306368.

The previous prime is 116084711. The next prime is 116084741. The reversal of 116084736 is 637480611.

116084736 is a `hidden beast` number, since 1 + 1 + 608 + 47 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116084736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1732575 + ... + 1732641.

It is an arithmetic number, because the mean of its divisors is an integer number (2227952).

Almost surely, 2116084736 is an apocalyptic number.

116084736 is a gapful number since it is divisible by the number (16) 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 116084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173780256).

116084736 is an abundant number, since it is smaller than the sum of its proper divisors (231475776).

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

116084736 is an equidigital number, since it uses as much as digits as its factorization.

116084736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 116084736 is about 10774.2626661874. The cubic root of 116084736 is about 487.8186193254.

The spelling of 116084736 in words is "one hundred sixteen million, eighty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 67 72 94 96 128 134 141 144 188 192 201 256 268 282 288 376 384 402 423 512 536 564 576 603 752 768 804 846 1024 1072 1128 1152 1206 1504 1536 1608 1692 2048 2144 2256 2304 2412 3008 3072 3149 3216 3384 4096 4288 4512 4608 4824 6016 6144 6298 6432 6768 8576 9024 9216 9447 9648 12032 12288 12596 12864 13536 17152 18048 18432 18894 19296 24064 25192 25728 27072 28341 34304 36096 36864 37788 38592 48128 50384 51456 54144 56682 68608 72192 75576 77184 96256 100768 102912 108288 113364 137216 144384 151152 154368 192512 201536 205824 216576 226728 274432 288768 302304 308736 403072 411648 433152 453456 577536 604608 617472 806144 823296 866304 906912 1209216 1234944 1612288 1732608 1813824 2418432 2469888 3224576 3627648 4836864 6449152 7255296 9673728 12898304 14510592 19347456 29021184 38694912 58042368 116084736