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116753280 = 2735721773
BaseRepresentation
bin1101111010110…
…00001110000000
322010200200101120
412331120032000
5214342101110
615330232240
72615246400
oct675301600
9263620346
10116753280
115a9a4516
1233125680
131b25b1a7
1411712800
15a3b3870
hex6f58380

116753280 has 384 divisors, whose sum is σ = 464654880. Its totient is φ = 24772608.

The previous prime is 116753257. The next prime is 116753291. The reversal of 116753280 is 82357611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599324 + ... + 1599396.

Almost surely, 2116753280 is an apocalyptic number.

116753280 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 116753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232327440).

116753280 is an abundant number, since it is smaller than the sum of its proper divisors (347901600).

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

116753280 is a wasteful number, since it uses less digits than its factorization.

116753280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 116753280 is about 10805.2431717199. The cubic root of 116753280 is about 488.7532932800.

The spelling of 116753280 in words is "one hundred sixteen million, seven hundred fifty-three thousand, two hundred eighty".