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116410000 = 245471663
BaseRepresentation
bin1101111000001…
…00011010010000
322010001020111111
412330010122100
5214300110000
615315023104
72612316520
oct674043220
9263036444
10116410000
115a78a613
1232b9aa94
131b16ab75
1411663680
15a346cba
hex6f04690

116410000 has 100 divisors (see below), whose sum is σ = 322296832. Its totient is φ = 39888000.

The previous prime is 116409983. The next prime is 116410013. The reversal of 116410000 is 14611.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 69169 + ... + 70831.

Almost surely, 2116410000 is an apocalyptic number.

116410000 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 116410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161148416).

116410000 is an abundant number, since it is smaller than the sum of its proper divisors (205886832).

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

116410000 is an equidigital number, since it uses as much as digits as its factorization.

116410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 116410000 is about 10789.3465974544. The cubic root of 116410000 is about 488.2738094333.

Adding to 116410000 its reverse (14611), we get a palindrome (116424611).

The spelling of 116410000 in words is "one hundred sixteen million, four hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1663 1750 2000 2500 2800 3326 3500 4375 5000 6652 7000 8315 8750 10000 11641 13304 14000 16630 17500 23282 26608 33260 35000 41575 46564 58205 66520 70000 83150 93128 116410 133040 166300 186256 207875 232820 291025 332600 415750 465640 582050 665200 831500 931280 1039375 1164100 1455125 1663000 2078750 2328200 2910250 3326000 4157500 4656400 5820500 7275625 8315000 11641000 14551250 16630000 23282000 29102500 58205000 116410000