Search a number
-
+
190773792 = 2534116691
BaseRepresentation
bin10110101111011…
…11101000100000
3111021222022110000
423113233220200
5342314230132
630532540000
74504356546
oct1327575040
9437868400
10190773792
11987611a0
1253a81600
13306a6a01
141b49dd96
1511b3587c
hexb5efa20

190773792 has 120 divisors (see below), whose sum is σ = 612157392. Its totient is φ = 57801600.

The previous prime is 190773787. The next prime is 190773797. The reversal of 190773792 is 297377091.

190773792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (190773787) and next prime (190773797).

It is not an unprimeable number, because it can be changed into a prime (190773797) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25167 + ... + 31857.

Almost surely, 2190773792 is an apocalyptic number.

190773792 is a gapful number since it is divisible by the number (12) 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 190773792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306078696).

190773792 is an abundant number, since it is smaller than the sum of its proper divisors (421383600).

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

190773792 is a wasteful number, since it uses less digits than its factorization.

190773792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 190773792 is about 13812.0886183082. The cubic root of 190773792 is about 575.6690807525.

The spelling of 190773792 in words is "one hundred ninety million, seven hundred seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 6691 7128 9504 13382 14256 20073 26764 28512 40146 53528 60219 73601 80292 107056 120438 147202 160584 180657 214112 220803 240876 294404 321168 361314 441606 481752 541971 588808 642336 662409 722628 883212 963504 1083942 1177616 1324818 1445256 1766424 1927008 1987227 2167884 2355232 2649636 2890512 3532848 3974454 4335768 5299272 5781024 5961681 7065696 7948908 8671536 10598544 11923362 15897816 17343072 21197088 23846724 31795632 47693448 63591264 95386896 190773792