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116200672 = 2574431171
BaseRepresentation
bin1101110110100…
…01010011100000
322002122121100121
412323101103200
5214221410142
615310330024
72610455320
oct673212340
9262577317
10116200672
115a657315
1232ab9914
131b0c67c3
141160b280
15a304c67
hex6ed14e0

116200672 has 48 divisors (see below), whose sum is σ = 262265472. Its totient is φ = 49645440.

The previous prime is 116200657. The next prime is 116200673. The reversal of 116200672 is 276002611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116200673) 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 7 ways as a sum of consecutive naturals, for example, 98647 + ... + 99817.

It is an arithmetic number, because the mean of its divisors is an integer number (5463864).

Almost surely, 2116200672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116200672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131132736).

116200672 is an abundant number, since it is smaller than the sum of its proper divisors (146064800).

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

116200672 is a wasteful number, since it uses less digits than its factorization.

116200672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 116200672 is about 10779.6415524822. The cubic root of 116200672 is about 487.9809631560.

The spelling of 116200672 in words is "one hundred sixteen million, two hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 443 886 1171 1772 2342 3101 3544 4684 6202 7088 8197 9368 12404 14176 16394 18736 24808 32788 37472 49616 65576 99232 131152 262304 518753 1037506 2075012 3631271 4150024 7262542 8300048 14525084 16600096 29050168 58100336 116200672