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189611136 = 273211131151
BaseRepresentation
bin10110100110100…
…11110010000000
3111012210020120200
423103103302000
5342020024021
630452005200
74461445101
oct1323236200
9435706520
10189611136
1198037720
1253600800
133038a750
141b27a3a8
15119a6126
hexb4d3c80

189611136 has 192 divisors, whose sum is σ = 641571840. Its totient is φ = 52992000.

The previous prime is 189611129. The next prime is 189611137. The reversal of 189611136 is 631116981.

It is a happy number.

189611136 is a `hidden beast` number, since 1 + 8 + 9 + 611 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 189611136.

It is not an unprimeable number, because it can be changed into a prime (189611137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164161 + ... + 165311.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2189611136 is an apocalyptic number.

189611136 is a gapful number since it is divisible by the number (16) 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 189611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

189611136 is an abundant number, since it is smaller than the sum of its proper divisors (451960704).

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

189611136 is a wasteful number, since it uses less digits than its factorization.

189611136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1180 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 189611136 is about 13769.9359475634. The cubic root of 189611136 is about 574.4972401797.

The spelling of 189611136 in words is "one hundred eighty-nine million, six hundred eleven thousand, one hundred thirty-six".