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1116136000 = 26537191049
BaseRepresentation
bin100001010000110…
…1110001001000000
32212210012120202101
41002201232021000
54241212323000
6302430400144
736441666550
oct10241561100
92783176671
101116136000
11523036551
12271960054
1314a310405
14a833d160
1567ec1e6a
hex4286e240

1116136000 has 224 divisors, whose sum is σ = 3328416000. Its totient is φ = 362188800.

The previous prime is 1116135991. The next prime is 1116136001. The reversal of 1116136000 is 6316111.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1116136001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063476 + ... + 1064524.

It is an arithmetic number, because the mean of its divisors is an integer number (14859000).

Almost surely, 21116136000 is an apocalyptic number.

1116136000 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 1116136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664208000).

1116136000 is an abundant number, since it is smaller than the sum of its proper divisors (2212280000).

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

1116136000 is a wasteful number, since it uses less digits than its factorization.

1116136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1116136000 is about 33408.6216417260. The cubic root of 1116136000 is about 1037.3031706737.

The spelling of 1116136000 in words is "one billion, one hundred sixteen million, one hundred thirty-six thousand".