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189684096 = 2737217593
BaseRepresentation
bin10110100111001…
…01100110000000
3111012220221122220
423103211212000
5342024342341
630453331040
74462200600
oct1323454600
9435827586
10189684096
1198087518
1253636a80
13303b4a14
141b298c00
15119bca66
hexb4e5980

189684096 has 192 divisors, whose sum is σ = 621632880. Its totient is φ = 50921472.

The previous prime is 189684083. The next prime is 189684109. The reversal of 189684096 is 690486981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (189684083) and next prime (189684109).

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

It is a super-3 number, since 3×1896840963 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319576 + ... + 320168.

Almost surely, 2189684096 is an apocalyptic number.

189684096 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 189684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310816440).

189684096 is an abundant number, since it is smaller than the sum of its proper divisors (431948784).

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

189684096 is a wasteful number, since it uses less digits than its factorization.

189684096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 189684096 is about 13772.5849425589. The cubic root of 189684096 is about 574.5709171878.

The spelling of 189684096 in words is "one hundred eighty-nine million, six hundred eighty-four thousand, ninety-six".