Search a number
-
+
116629360 = 2451457867
BaseRepresentation
bin1101111001110…
…01111101110000
322010110101101221
412330321331300
5214324114420
615323434424
72614222201
oct674717560
9263411357
10116629360
115a91a401
1233085a14
131b216973
14116bd5a8
15a38bcaa
hex6f39f70

116629360 has 20 divisors (see below), whose sum is σ = 271163448. Its totient is φ = 46651712.

The previous prime is 116629349. The next prime is 116629361. The reversal of 116629360 is 63926611.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1166293602 = 27204815228019200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116629361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 728854 + ... + 729013.

Almost surely, 2116629360 is an apocalyptic number.

116629360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116629360 is an abundant number, since it is smaller than the sum of its proper divisors (154534088).

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

116629360 is a wasteful number, since it uses less digits than its factorization.

116629360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457880 (or 1457874 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 116629360 is about 10799.5073961732. The cubic root of 116629360 is about 488.5803138463.

The spelling of 116629360 in words is "one hundred sixteen million, six hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1457867 2915734 5831468 7289335 11662936 14578670 23325872 29157340 58314680 116629360