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1161166120 = 23529029153
BaseRepresentation
bin100010100110101…
…1111110100101000
32222220221100110121
41011031133310220
54334224303440
6311115453024
740526514652
oct10515376450
92886840417
101161166120
115464a2324
12284a57174
1315674865a
14b03016d2
156be1934a
hex4535fd28

1161166120 has 16 divisors (see below), whose sum is σ = 2612623860. Its totient is φ = 464466432.

The previous prime is 1161166103. The next prime is 1161166121. The reversal of 1161166120 is 216611611.

It can be written as a sum of positive squares in 2 ways, for example, as 1111688964 + 49477156 = 33342^2 + 7034^2 .

It is not an unprimeable number, because it can be changed into a prime (1161166121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14514537 + ... + 14514616.

Almost surely, 21161166120 is an apocalyptic number.

1161166120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1161166120 is an abundant number, since it is smaller than the sum of its proper divisors (1451457740).

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

1161166120 is a wasteful number, since it uses less digits than its factorization.

1161166120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29029164 (or 29029160 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 1161166120 is about 34075.8876626861. The cubic root of 1161166120 is about 1051.0695435881.

Adding to 1161166120 its reverse (216611611), we get a palindrome (1377777731).

It can be divided in two parts, 1161 and 166120, that added together give a square (167281 = 4092).

The spelling of 1161166120 in words is "one billion, one hundred sixty-one million, one hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 29029153 58058306 116116612 145145765 232233224 290291530 580583060 1161166120