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601156116 = 2232111518071
BaseRepresentation
bin100011110101001…
…110101000010100
31112220011220011100
4203311032220110
52212343443431
6135352510100
720616512511
oct4365165024
91486156140
10601156116
11289378540
121493ab330
1397711ba2
1459ba8308
1537b9a4e6
hex23d4ea14

601156116 has 36 divisors (see below), whose sum is σ = 1657734624. Its totient is φ = 182168400.

The previous prime is 601156111. The next prime is 601156121. The reversal of 601156116 is 611651106.

601156116 is a `hidden beast` number, since 601 + 1 + 56 + 1 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (601156111) and next prime (601156121).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6011561162 = 722777351608410912, which contains 22 as substring.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 601156116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601156111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 758640 + ... + 759431.

It is an arithmetic number, because the mean of its divisors is an integer number (46048184).

Almost surely, 2601156116 is an apocalyptic number.

601156116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

601156116 is an abundant number, since it is smaller than the sum of its proper divisors (1056578508).

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

601156116 is a wasteful number, since it uses less digits than its factorization.

601156116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518092 (or 1518087 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 601156116 is about 24518.4851897502. The cubic root of 601156116 is about 843.9740432858.

The spelling of 601156116 in words is "six hundred one million, one hundred fifty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1518071 3036142 4554213 6072284 9108426 13662639 16698781 18216852 27325278 33397562 50096343 54650556 66795124 100192686 150289029 200385372 300578058 601156116