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116475480 = 233251167439
BaseRepresentation
bin1101111000101…
…00011001011000
322010011120022200
412330110121120
5214304203410
615320250200
72613011442
oct674243130
9263146280
10116475480
115a824830
1233010960
131b191904
141167d492
15a35b3c0
hex6f14658

116475480 has 192 divisors, whose sum is σ = 420076800. Its totient is φ = 27751680.

The previous prime is 116475439. The next prime is 116475481. The reversal of 116475480 is 84574611.

It is a happy number.

116475480 is a `hidden beast` number, since 1 + 1 + 647 + 5 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116475481) by changing a digit.

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, 265101 + ... + 265539.

It is an arithmetic number, because the mean of its divisors is an integer number (2187900).

Almost surely, 2116475480 is an apocalyptic number.

116475480 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 116475480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210038400).

116475480 is an abundant number, since it is smaller than the sum of its proper divisors (303601320).

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

116475480 is a wasteful number, since it uses less digits than its factorization.

116475480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 116475480 is about 10792.3806456222. The cubic root of 116475480 is about 488.3653427385.

It can be divided in two parts, 1 and 16475480, that added together give a square (16475481 = 40592).

The spelling of 116475480 in words is "one hundred sixteen million, four hundred seventy-five thousand, four hundred eighty".