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1116033408 = 273272171163
BaseRepresentation
bin100001010000101…
…0101000110000000
32212210000101000200
41002201111012000
54241201032113
6302424245200
736441061500
oct10241250600
92783011020
101116033408
11522a76466
12271910800
1314a2a57c9
14a8313a00
1567ea1873
hex42855180

1116033408 has 288 divisors, whose sum is σ = 3958985160. Its totient is φ = 299851776.

The previous prime is 1116033371. The next prime is 1116033431. The reversal of 1116033408 is 8043306111.

1116033408 is a `hidden beast` number, since 1 + 11 + 603 + 3 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 959035 + ... + 960197.

Almost surely, 21116033408 is an apocalyptic number.

1116033408 is a gapful number since it is divisible by the number (18) 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 1116033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979492580).

1116033408 is an abundant number, since it is smaller than the sum of its proper divisors (2842951752).

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

1116033408 is a wasteful number, since it uses less digits than its factorization.

1116033408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1116033408 is about 33407.0861943989. The cubic root of 1116033408 is about 1037.2713877286.

Adding to 1116033408 its reverse (8043306111), we get a palindrome (9159339519).

The spelling of 1116033408 in words is "one billion, one hundred sixteen million, thirty-three thousand, four hundred eight".