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116612160 = 2635723767
BaseRepresentation
bin1101111001101…
…01110001000000
322010102111210220
412330311301000
5214323042120
615323223040
72614121100
oct674656100
9263374726
10116612160
115a908495
1233077a80
131b20bba2
14116b7200
15a386b40
hex6f35c40

116612160 has 336 divisors, whose sum is σ = 448933824. Its totient is φ = 25546752.

The previous prime is 116612149. The next prime is 116612183. The reversal of 116612160 is 61216611.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 116612160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1740447 + ... + 1740513.

Almost surely, 2116612160 is an apocalyptic number.

116612160 is a gapful number since it is divisible by the number (10) 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 116612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224466912).

116612160 is an abundant number, since it is smaller than the sum of its proper divisors (332321664).

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

116612160 is a wasteful number, since it uses less digits than its factorization.

116612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 116612160 is about 10798.7110341929. The cubic root of 116612160 is about 488.5562947527.

Adding to 116612160 its reverse (61216611), we get a palindrome (177828771).

The spelling of 116612160 in words is "one hundred sixteen million, six hundred twelve thousand, one hundred sixty".