Search a number
-
+
190955776 = 2811194383
BaseRepresentation
bin10110110000111…
…00000100000000
3111022022120002011
423120130010000
5342341041101
630540502304
74506045244
oct1330340400
9438276064
10190955776
11988759a0
1253b4a994
133073b7ab
141b50a424
1511b6e751
hexb61c100

190955776 has 144 divisors (see below), whose sum is σ = 453277440. Its totient is φ = 79349760.

The previous prime is 190955761. The next prime is 190955797. The reversal of 190955776 is 677559091.

190955776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2300631 + ... + 2300713.

It is an arithmetic number, because the mean of its divisors is an integer number (3147760).

Almost surely, 2190955776 is an apocalyptic number.

190955776 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 190955776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226638720).

190955776 is an abundant number, since it is smaller than the sum of its proper divisors (262321664).

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

190955776 is a wasteful number, since it uses less digits than its factorization.

190955776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 49.

The square root of 190955776 is about 13818.6749002934. The cubic root of 190955776 is about 575.8520710655.

The spelling of 190955776 in words is "one hundred ninety million, nine hundred fifty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 43 44 64 76 83 86 88 128 152 166 172 176 209 256 304 332 344 352 418 473 608 664 688 704 817 836 913 946 1216 1328 1376 1408 1577 1634 1672 1826 1892 2432 2656 2752 2816 3154 3268 3344 3569 3652 3784 4864 5312 5504 6308 6536 6688 7138 7304 7568 8987 10624 11008 12616 13072 13376 14276 14608 15136 17347 17974 21248 25232 26144 26752 28552 29216 30272 34694 35948 39259 50464 52288 53504 57104 58432 60544 67811 69388 71896 78518 100928 104576 114208 116864 121088 135622 138776 143792 157036 201856 209152 228416 233728 271244 277552 287584 314072 403712 456832 542488 555104 575168 628144 745921 913664 1084976 1110208 1150336 1256288 1491842 2169952 2220416 2300672 2512576 2983684 4339904 4440832 5025152 5967368 8679808 10050304 11934736 17359616 23869472 47738944 95477888 190955776