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116394460 = 225713312063
BaseRepresentation
bin1101111000000…
…00100111011100
322010000110011221
412330000213130
5214244110320
615314423124
72612223310
oct674004734
9263013157
10116394460
115a779976
1232b91aa4
131b163a80
141165bb40
15a3423aa
hex6f009dc

116394460 has 96 divisors (see below), whose sum is σ = 310689792. Its totient is φ = 35631360.

The previous prime is 116394457. The next prime is 116394463. The reversal of 116394460 is 64493611.

It is an interprime number because it is at equal distance from previous prime (116394457) and next prime (116394463).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116394463) 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, 55389 + ... + 57451.

It is an arithmetic number, because the mean of its divisors is an integer number (3236352).

Almost surely, 2116394460 is an apocalyptic number.

116394460 is a gapful number since it is divisible by the number (10) 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 116394460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155344896).

116394460 is an abundant number, since it is smaller than the sum of its proper divisors (194295332).

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

116394460 is a wasteful number, since it uses less digits than its factorization.

116394460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 116394460 is about 10788.6264185947. The cubic root of 116394460 is about 488.2520813095.

The spelling of 116394460 in words is "one hundred sixteen million, three hundred ninety-four thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 1085 1612 1820 2015 2063 2170 2821 4030 4126 4340 5642 8060 8252 10315 11284 14105 14441 20630 26819 28210 28882 41260 53638 56420 57764 63953 72205 107276 127906 134095 144410 187733 255812 268190 288820 319765 375466 447671 536380 639530 750932 831389 895342 938665 1279060 1662778 1790684 1877330 2238355 3325556 3754660 4156945 4476710 5819723 8313890 8953420 11639446 16627780 23278892 29098615 58197230 116394460