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116061948 = 22323223943
BaseRepresentation
bin1101110101011…
…11011011111100
322002101120001200
412322233123330
5214202440243
615303335500
72606340012
oct672573374
9262346050
10116061948
115a572072
1232a51590
131b078612
14115b28b2
15a2c8ad3
hex6eaf6fc

116061948 has 18 divisors (see below), whose sum is σ = 293378904. Its totient is φ = 38687304.

The previous prime is 116061947. The next prime is 116061949. The reversal of 116061948 is 849160611.

It is a happy number.

116061948 is a `hidden beast` number, since 1 + 1 + 606 + 1 + 9 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (116061947) and next prime (116061949).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3223943 = 116061948 / (1 + 1 + 6 + 0 + 6 + 1 + 9 + 4 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116061943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1611936 + ... + 1612007.

It is an arithmetic number, because the mean of its divisors is an integer number (16298828).

Almost surely, 2116061948 is an apocalyptic number.

116061948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116061948 is an abundant number, since it is smaller than the sum of its proper divisors (177316956).

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

116061948 is a wasteful number, since it uses less digits than its factorization.

116061948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223953 (or 3223948 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 116061948 is about 10773.2050941212. The cubic root of 116061948 is about 487.7866968449.

The spelling of 116061948 in words is "one hundred sixteen million, sixty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3223943 6447886 9671829 12895772 19343658 29015487 38687316 58030974 116061948