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116220104 = 237111323631
BaseRepresentation
bin1101110110101…
…10000011001000
322002200121000022
412323112003020
5214223020404
615311000012
72610566060
oct673260310
9262617008
10116220104
115a66a980
1232b09008
131b1025c0
14116143a0
15a30a8be
hex6ed60c8

116220104 has 128 divisors (see below), whose sum is σ = 305786880. Its totient is φ = 39916800.

The previous prime is 116220103. The next prime is 116220119. The reversal of 116220104 is 401022611.

It is a super-2 number, since 2×1162201042 = 27014225147541632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116220101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 183869 + ... + 184499.

It is an arithmetic number, because the mean of its divisors is an integer number (2388960).

Almost surely, 2116220104 is an apocalyptic number.

116220104 is a gapful number since it is divisible by the number (14) 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 116220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152893440).

116220104 is an abundant number, since it is smaller than the sum of its proper divisors (189566776).

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

116220104 is a wasteful number, since it uses less digits than its factorization.

116220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 116220104 is about 10780.5428434750. The cubic root of 116220104 is about 488.0081629916.

Adding to 116220104 its reverse (401022611), we get a palindrome (517242715).

The spelling of 116220104 in words is "one hundred sixteen million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 23 26 28 44 46 52 56 77 88 91 92 104 143 154 161 182 184 253 286 299 308 322 364 506 572 598 616 631 644 728 1001 1012 1144 1196 1262 1288 1771 2002 2024 2093 2392 2524 3289 3542 4004 4186 4417 5048 6578 6941 7084 8008 8203 8372 8834 13156 13882 14168 14513 16406 16744 17668 23023 26312 27764 29026 32812 35336 46046 48587 55528 57421 58052 65624 90233 92092 97174 101591 114842 116104 159643 180466 184184 188669 194348 203182 229684 319286 360932 377338 388696 406364 459368 631631 638572 721864 754676 812728 1117501 1263262 1277144 1320683 1509352 2075359 2235002 2526524 2641366 4150718 4470004 5053048 5282732 8301436 8940008 10565464 14527513 16602872 29055026 58110052 116220104