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116006730 = 23573731481
BaseRepresentation
bin1101110101000…
…01111101001010
322002021202022120
412322201331022
5214144203410
615302232110
72606020020
oct672417512
9262252276
10116006730
115a534634
1232a25636
131b059448
141159a710
15a2b7570
hex6ea1f4a

116006730 has 64 divisors (see below), whose sum is σ = 319258368. Its totient is φ = 26426880.

The previous prime is 116006719. The next prime is 116006731. The reversal of 116006730 is 37600611.

It is a super-2 number, since 2×1160067302 = 26915122810585800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 116006730.

It is not an unprimeable number, because it can be changed into a prime (116006731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77590 + ... + 79070.

It is an arithmetic number, because the mean of its divisors is an integer number (4988412).

Almost surely, 2116006730 is an apocalyptic number.

116006730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116006730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159629184).

116006730 is an abundant number, since it is smaller than the sum of its proper divisors (203251638).

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

116006730 is a wasteful number, since it uses less digits than its factorization.

116006730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 116006730 is about 10770.6420421440. The cubic root of 116006730 is about 487.7093275925.

The spelling of 116006730 in words is "one hundred sixteen million, six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 373 746 1119 1481 1865 2238 2611 2962 3730 4443 5222 5595 7405 7833 8886 10367 11190 13055 14810 15666 20734 22215 26110 31101 39165 44430 51835 62202 78330 103670 155505 311010 552413 1104826 1657239 2762065 3314478 3866891 5524130 7733782 8286195 11600673 16572390 19334455 23201346 38668910 58003365 116006730