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116100500 = 2253892609
BaseRepresentation
bin1101110101110…
…00110110010100
322002110111221112
412322320312110
5214210204000
615304234152
72606560265
oct672706624
9262414845
10116100500
115a59902a
1232a6b958
131b090029
14115c296c
15a2d5235
hex6eb8d94

116100500 has 48 divisors (see below), whose sum is σ = 256510800. Its totient is φ = 45900800.

The previous prime is 116100493. The next prime is 116100503. The reversal of 116100500 is 5001611.

It can be written as a sum of positive squares in 8 ways, for example, as 57547396 + 58553104 = 7586^2 + 7652^2 .

It is a super-2 number, since 2×1161005002 = 26958652200500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116100503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43196 + ... + 45804.

It is an arithmetic number, because the mean of its divisors is an integer number (5343975).

Almost surely, 2116100500 is an apocalyptic number.

116100500 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 116100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128255400).

116100500 is an abundant number, since it is smaller than the sum of its proper divisors (140410300).

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

116100500 is a wasteful number, since it uses less digits than its factorization.

116100500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 116100500 is about 10774.9941995344. The cubic root of 116100500 is about 487.8406998186.

The spelling of 116100500 in words is "one hundred sixteen million, one hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 125 178 250 356 445 500 890 1780 2225 2609 4450 5218 8900 10436 11125 13045 22250 26090 44500 52180 65225 130450 232201 260900 326125 464402 652250 928804 1161005 1304500 2322010 4644020 5805025 11610050 23220100 29025125 58050250 116100500