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116728290 = 23457217173
BaseRepresentation
bin1101111010100…
…10000111100010
322010122102010000
412331102013202
5214340301130
615325520430
72615113500
oct675220742
9263572100
10116728290
115a987768
1233113116
131b24c9c3
1411707670
15a3ab260
hex6f521e2

116728290 has 240 divisors, whose sum is σ = 388825272. Its totient is φ = 24966144.

The previous prime is 116728279. The next prime is 116728309. The reversal of 116728290 is 92827611.

It can be written as a sum of positive squares in 4 ways, for example, as 116057529 + 670761 = 10773^2 + 819^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 674644 + ... + 674816.

Almost surely, 2116728290 is an apocalyptic number.

116728290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116728290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194412636).

116728290 is an abundant number, since it is smaller than the sum of its proper divisors (272096982).

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

116728290 is a wasteful number, since it uses less digits than its factorization.

116728290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 116728290 is about 10804.0867267900. The cubic root of 116728290 is about 488.7184196949.

The spelling of 116728290 in words is "one hundred sixteen million, seven hundred twenty-eight thousand, two hundred ninety".