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116406500 = 2253779421
BaseRepresentation
bin1101111000000…
…11100011100100
322010001001200212
412330003203210
5214300002000
615314554552
72612303360
oct674034344
9263031625
10116406500
115a787a21
1232b98a58
131b1693b2
14116622a0
15a345c35
hex6f038e4

116406500 has 96 divisors (see below), whose sum is σ = 294927360. Its totient is φ = 39312000.

The previous prime is 116406491. The next prime is 116406517. The reversal of 116406500 is 5604611.

It is a congruent number.

It is an unprimeable number.

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, 276290 + ... + 276710.

It is an arithmetic number, because the mean of its divisors is an integer number (3072160).

Almost surely, 2116406500 is an apocalyptic number.

116406500 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 116406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147463680).

116406500 is an abundant number, since it is smaller than the sum of its proper divisors (178520860).

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

116406500 is a wasteful number, since it uses less digits than its factorization.

116406500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 116406500 is about 10789.1843992027. The cubic root of 116406500 is about 488.2689158804.

The spelling of 116406500 in words is "one hundred sixteen million, four hundred six thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 125 140 158 175 250 316 350 395 421 500 553 700 790 842 875 1106 1580 1684 1750 1975 2105 2212 2765 2947 3500 3950 4210 5530 5894 7900 8420 9875 10525 11060 11788 13825 14735 19750 21050 27650 29470 33259 39500 42100 52625 55300 58940 66518 69125 73675 105250 133036 138250 147350 166295 210500 232813 276500 294700 332590 368375 465626 665180 736750 831475 931252 1164065 1473500 1662950 2328130 3325900 4157375 4656260 5820325 8314750 11640650 16629500 23281300 29101625 58203250 116406500