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189911040 = 2123511281
BaseRepresentation
bin10110101000111…
…01000000000000
3111020100110222020
423110131000000
5342104123130
630502241440
74464134334
oct1324350000
9436313866
10189911040
1198221a80
1253726280
13304640c7
141b3177c4
1511a14e10
hexb51d000

189911040 has 208 divisors, whose sum is σ = 665240256. Its totient is φ = 45875200.

The previous prime is 189911011. The next prime is 189911087. The reversal of 189911040 is 40119981.

It is a super-2 number, since 2×1899110402 = 72132406227763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 189910992 and 189911010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675700 + ... + 675980.

Almost surely, 2189911040 is an apocalyptic number.

189911040 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 189911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332620128).

189911040 is an abundant number, since it is smaller than the sum of its proper divisors (475329216).

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

189911040 is a wasteful number, since it uses less digits than its factorization.

189911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 189911040 is about 13780.8214559220. The cubic root of 189911040 is about 574.7999707502.

The spelling of 189911040 in words is "one hundred eighty-nine million, nine hundred eleven thousand, forty".