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116963280 = 243257231009
BaseRepresentation
bin1101111100010…
…11011111010000
322011002100110100
412332023133100
5214420311110
615334532400
72620112550
oct676133720
9264070410
10116963280
1160028275
1233207100
131b302955
1411769160
15a405bc0
hex6f8b7d0

116963280 has 240 divisors, whose sum is σ = 468898560. Its totient is φ = 25546752.

The previous prime is 116963269. The next prime is 116963299. The reversal of 116963280 is 82369611.

116963280 is a `hidden beast` number, since 1 + 16 + 9 + 632 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 115416 + ... + 116424.

It is an arithmetic number, because the mean of its divisors is an integer number (1953744).

Almost surely, 2116963280 is an apocalyptic number.

116963280 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 116963280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234449280).

116963280 is an abundant number, since it is smaller than the sum of its proper divisors (351935280).

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

116963280 is a wasteful number, since it uses less digits than its factorization.

116963280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 116963280 is about 10814.9563105914. The cubic root of 116963280 is about 489.0461521923.

The spelling of 116963280 in words is "one hundred sixteen million, nine hundred sixty-three thousand, two hundred eighty".