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116486656 = 2911133743
BaseRepresentation
bin1101111000101…
…11001000000000
322010012010122121
412330113020000
5214310033111
615320414024
72613056146
oct674271000
9263163577
10116486656
115a832170
1233017314
131b196a20
1411683596
15a35e871
hex6f17200

116486656 has 160 divisors (see below), whose sum is σ = 287356608. Its totient is φ = 46448640.

The previous prime is 116486653. The next prime is 116486683. The reversal of 116486656 is 656684611.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (116486653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2708971 + ... + 2709013.

Almost surely, 2116486656 is an apocalyptic number.

116486656 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 116486656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143678304).

116486656 is an abundant number, since it is smaller than the sum of its proper divisors (170869952).

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

116486656 is a wasteful number, since it uses less digits than its factorization.

116486656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 116486656 is about 10792.8984058964. The cubic root of 116486656 is about 488.3809620389.

The spelling of 116486656 in words is "one hundred sixteen million, four hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 43 44 52 64 74 86 88 104 128 143 148 172 176 208 256 286 296 344 352 407 416 473 481 512 559 572 592 688 704 814 832 946 962 1118 1144 1184 1376 1408 1591 1628 1664 1892 1924 2236 2288 2368 2752 2816 3182 3256 3328 3784 3848 4472 4576 4736 5291 5504 5632 6149 6364 6512 6656 7568 7696 8944 9152 9472 10582 11008 12298 12728 13024 15136 15392 17501 17888 18304 18944 20683 21164 22016 24596 25456 26048 30272 30784 35002 35776 36608 41366 42328 49192 50912 52096 60544 61568 70004 71552 73216 82732 84656 98384 101824 104192 121088 123136 140008 143104 165464 169312 196768 203648 208384 227513 242176 246272 280016 286208 330928 338624 393536 407296 455026 560032 661856 677248 787072 814592 910052 1120064 1323712 1354496 1574144 1820104 2240128 2647424 2708992 3148288 3640208 4480256 5294848 7280416 8960512 10589696 14560832 29121664 58243328 116486656