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116666000 = 2453115303
BaseRepresentation
bin1101111010000…
…10111010010000
322010112020122222
412331002322100
5214331303000
615324320212
72614434053
oct675027220
9263466588
10116666000
115a944990
12330a3068
131b22a549
14116cca9a
15a397a85
hex6f42e90

116666000 has 80 divisors (see below), whose sum is σ = 307801728. Its totient is φ = 42416000.

The previous prime is 116665979. The next prime is 116666003. The reversal of 116666000 is 666611.

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

It is a super-2 number, since 2×1166660002 = 27221911112000000, which contains 22 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (116666003) 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 15 ways as a sum of consecutive naturals, for example, 19349 + ... + 24651.

Almost surely, 2116666000 is an apocalyptic number.

116666000 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 116666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153900864).

116666000 is an abundant number, since it is smaller than the sum of its proper divisors (191135728).

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

116666000 is a wasteful number, since it uses less digits than its factorization.

116666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 116666000 is about 10801.2036366324. The cubic root of 116666000 is about 488.6314722293.

The spelling of 116666000 in words is "one hundred sixteen million, six hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5303 5500 10606 11000 21212 22000 26515 42424 53030 58333 84848 106060 116666 132575 212120 233332 265150 291665 424240 466664 530300 583330 662875 933328 1060600 1166660 1325750 1458325 2121200 2333320 2651500 2916650 4666640 5303000 5833300 7291625 10606000 11666600 14583250 23333200 29166500 58333000 116666000