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190239984 = 243211831447
BaseRepresentation
bin10110101011011…
…01010011110000
3111020222012012100
423111231103300
5342200134414
630513300400
74500004344
oct1325552360
9436865170
10190239984
1198427130
1253864700
133054aa4c
141b3a1624
1511a7c609
hexb56d4f0

190239984 has 120 divisors (see below), whose sum is σ = 588212352. Its totient is φ = 56914560.

The previous prime is 190239983. The next prime is 190239991. The reversal of 190239984 is 489932091.

190239984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190239983) 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, 130749 + ... + 132195.

Almost surely, 2190239984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190239984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294106176).

190239984 is an abundant number, since it is smaller than the sum of its proper divisors (397972368).

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

190239984 is a wasteful number, since it uses less digits than its factorization.

190239984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 190239984 is about 13792.7511396385. The cubic root of 190239984 is about 575.1316487471.

The spelling of 190239984 in words is "one hundred ninety million, two hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 83 88 99 132 144 166 176 198 249 264 332 396 498 528 664 747 792 913 996 1328 1447 1494 1584 1826 1992 2739 2894 2988 3652 3984 4341 5478 5788 5976 7304 8217 8682 10956 11576 11952 13023 14608 15917 16434 17364 21912 23152 26046 31834 32868 34728 43824 47751 52092 63668 65736 69456 95502 104184 120101 127336 131472 143253 191004 208368 240202 254672 286506 360303 382008 480404 573012 720606 764016 960808 1080909 1146024 1321111 1441212 1921616 2161818 2292048 2642222 2882424 3963333 4323636 5284444 5764848 7926666 8647272 10568888 11889999 15853332 17294544 21137776 23779998 31706664 47559996 63413328 95119992 190239984