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116174000 = 2453292003
BaseRepresentation
bin1101110110010…
…10110010110000
322002121020202202
412323022302300
5214220032000
615310002332
72610314465
oct673126260
9262536682
10116174000
115a639278
1232aa63a8
131b0b7617
141160166c
15a2ebdd5
hex6ecacb0

116174000 has 80 divisors (see below), whose sum is σ = 290740320. Its totient is φ = 44844800.

The previous prime is 116173997. The next prime is 116174059. The reversal of 116174000 is 471611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56999 + ... + 59001.

It is an arithmetic number, because the mean of its divisors is an integer number (3634254).

Almost surely, 2116174000 is an apocalyptic number.

116174000 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 116174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145370160).

116174000 is an abundant number, since it is smaller than the sum of its proper divisors (174566320).

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

116174000 is a wasteful number, since it uses less digits than its factorization.

116174000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 116174000 is about 10778.4043345942. The cubic root of 116174000 is about 487.9436242319.

The spelling of 116174000 in words is "one hundred sixteen million, one hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2003 2320 2900 3625 4006 5800 7250 8012 10015 11600 14500 16024 20030 29000 32048 40060 50075 58000 58087 80120 100150 116174 160240 200300 232348 250375 290435 400600 464696 500750 580870 801200 929392 1001500 1161740 1452175 2003000 2323480 2904350 4006000 4646960 5808700 7260875 11617400 14521750 23234800 29043500 58087000 116174000