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1116100 = 225211161
BaseRepresentation
bin100010000011111000100
32002201000001
410100133010
5241203400
635531044
712325636
oct4203704
92081001
101116100
116a25a7
12459a84
1330101b
14210a56
15170a6a
hex1107c4

1116100 has 18 divisors (see below), whose sum is σ = 2422154. Its totient is φ = 446400.

The previous prime is 1116091. The next prime is 1116107. The reversal of 1116100 is 16111.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 1110916 = 72^2 + 1054^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1116107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5481 + ... + 5680.

21116100 is an apocalyptic number.

1116100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1116100 is an abundant number, since it is smaller than the sum of its proper divisors (1306054).

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

1116100 is a wasteful number, since it uses less digits than its factorization.

1116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11175 (or 11168 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1116100 is about 1056.4563407922. The cubic root of 1116100 is about 103.7292018115.

The spelling of 1116100 in words is "one million, one hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11161 22322 44644 55805 111610 223220 279025 558050 1116100