Search a number
-
+
116261280 = 2532580737
BaseRepresentation
bin1101110111000…
…00000110100000
322002202200111100
412323200012200
5214230330110
615311514400
72611130112
oct673400640
9262680440
10116261280
115a698903
1232b28a00
131b118275
14116253b2
15a317bc0
hex6ee01a0

116261280 has 72 divisors (see below), whose sum is σ = 396746532. Its totient is φ = 31002624.

The previous prime is 116261279. The next prime is 116261287. The reversal of 116261280 is 82162611.

116261280 is a `hidden beast` number, since 11 + 626 + 1 + 28 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 9511056 = 10332^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (116261287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38929 + ... + 41808.

Almost surely, 2116261280 is an apocalyptic number.

116261280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116261280 is an abundant number, since it is smaller than the sum of its proper divisors (280485252).

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

116261280 is a wasteful number, since it uses less digits than its factorization.

116261280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80758 (or 80747 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116261280 is about 10782.4524112096. The cubic root of 116261280 is about 488.0657888550.

The spelling of 116261280 in words is "one hundred sixteen million, two hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 80737 161474 242211 322948 403685 484422 645896 726633 807370 968844 1211055 1291792 1453266 1614740 1937688 2422110 2583584 2906532 3229480 3633165 3875376 4844220 5813064 6458960 7266330 7750752 9688440 11626128 12917920 14532660 19376880 23252256 29065320 38753760 58130640 116261280