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116260144 = 247211131761
BaseRepresentation
bin1101110110111…
…11110100110000
322002202121221021
412323133310300
5214230311034
615311505224
72611123600
oct673376460
9262677837
10116260144
115a697a70
1232b28214
131b1178b0
1411624c00
15a3176b4
hex6edfd30

116260144 has 240 divisors, whose sum is σ = 331291296. Its totient is φ = 38707200.

The previous prime is 116260139. The next prime is 116260153. The reversal of 116260144 is 441062611.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1905874 + ... + 1905934.

Almost surely, 2116260144 is an apocalyptic number.

116260144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116260144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165645648).

116260144 is an abundant number, since it is smaller than the sum of its proper divisors (215031152).

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

116260144 is a wasteful number, since it uses less digits than its factorization.

116260144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 116260144 is about 10782.3997328981. The cubic root of 116260144 is about 488.0641992041.

The spelling of 116260144 in words is "one hundred sixteen million, two hundred sixty thousand, one hundred forty-four".