Search a number
-
+
190685664 = 2534135659
BaseRepresentation
bin10110101110110…
…10000111100000
3111021210211120000
423113122013200
5342303420124
630531020000
74503541611
oct1327320740
9437724500
10190685664
1198700a64
1253a3a600
1330675870
141b479c08
1511b196c9
hexb5da1e0

190685664 has 120 divisors (see below), whose sum is σ = 604046520. Its totient is φ = 58662144.

The previous prime is 190685647. The next prime is 190685687. The reversal of 190685664 is 466586091.

190685664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1906856642 = 72722044910241792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30867 + ... + 36525.

It is an arithmetic number, because the mean of its divisors is an integer number (5033721).

Almost surely, 2190685664 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 190685664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302023260).

190685664 is an abundant number, since it is smaller than the sum of its proper divisors (413360856).

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

190685664 is a wasteful number, since it uses less digits than its factorization.

190685664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 190685664 is about 13808.8980009268. The cubic root of 190685664 is about 575.5804236083.

The spelling of 190685664 in words is "one hundred ninety million, six hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 5659 8424 11232 11318 16848 16977 22636 33696 33954 45272 50931 67908 73567 90544 101862 135816 147134 152793 181088 203724 220701 271632 294268 305586 407448 441402 458379 543264 588536 611172 662103 814896 882804 916758 1177072 1222344 1324206 1629792 1765608 1833516 1986309 2354144 2444688 2648412 3531216 3667032 3972618 4889376 5296824 5958927 7062432 7334064 7945236 10593648 11917854 14668128 15890472 21187296 23835708 31780944 47671416 63561888 95342832 190685664