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116930016 = 25327311871
BaseRepresentation
bin1101111100000…
…11010111100000
322011000122211100
412332003113200
5214413230031
615334114400
72616613560
oct676032740
9264018740
10116930016
1160005285
12331aba00
131b2c0778
141175ada0
15a3eade6
hex6f835e0

116930016 has 144 divisors (see below), whose sum is σ = 392491008. Its totient is φ = 32313600.

The previous prime is 116930003. The next prime is 116930039. The reversal of 116930016 is 610039611.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61561 + ... + 63431.

It is an arithmetic number, because the mean of its divisors is an integer number (2725632).

Almost surely, 2116930016 is an apocalyptic number.

116930016 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 116930016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196245504).

116930016 is an abundant number, since it is smaller than the sum of its proper divisors (275560992).

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

116930016 is a wasteful number, since it uses less digits than its factorization.

116930016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 116930016 is about 10813.4183309442. The cubic root of 116930016 is about 488.9997867188. Note that the first 3 decimals are identical.

Adding to 116930016 its reverse (610039611), we get a palindrome (726969627).

The spelling of 116930016 in words is "one hundred sixteen million, nine hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1116 1302 1488 1736 1871 1953 2016 2232 2604 2976 3472 3742 3906 4464 5208 5613 6944 7484 7812 8928 10416 11226 13097 14968 15624 16839 20832 22452 26194 29936 31248 33678 39291 44904 52388 58001 59872 62496 67356 78582 89808 104776 116002 117873 134712 157164 174003 179616 209552 232004 235746 269424 314328 348006 406007 419104 464008 471492 522009 538848 628656 696012 812014 928016 942984 1044018 1218021 1257312 1392024 1624028 1856032 1885968 2088036 2436042 2784048 3248056 3654063 3771936 4176072 4872084 5568096 6496112 7308126 8352144 9744168 12992224 14616252 16704288 19488336 29232504 38976672 58465008 116930016