Search a number
-
+
190645056 = 2633715761
BaseRepresentation
bin10110101110100…
…00001101000000
3111021201202212000
423113100031000
5342301120211
630530104000
74503312330
oct1327201500
9437652760
10190645056
11986834a8
1253a1b000
1330660234
141b4690c0
1511b0c656
hexb5d0340

190645056 has 112 divisors (see below), whose sum is σ = 640567680. Its totient is φ = 54466560.

The previous prime is 190645001. The next prime is 190645057. The reversal of 190645056 is 650546091.

190645056 is a `hidden beast` number, since 1 + 9 + 0 + 645 + 0 + 5 + 6 = 666.

190645056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 190645056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190645057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4216 + ... + 19976.

Almost surely, 2190645056 is an apocalyptic number.

190645056 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 190645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320283840).

190645056 is an abundant number, since it is smaller than the sum of its proper divisors (449922624).

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

190645056 is a wasteful number, since it uses less digits than its factorization.

190645056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15789 (or 15773 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 190645056 is about 13807.4275663499. The cubic root of 190645056 is about 575.5395625935.

The spelling of 190645056 in words is "one hundred ninety million, six hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 15761 31522 47283 63044 94566 110327 126088 141849 189132 220654 252176 283698 330981 378264 425547 441308 504352 567396 661962 756528 851094 882616 992943 1008704 1134792 1323924 1513056 1702188 1765232 1985886 2269584 2647848 2978829 3026112 3404376 3530464 3971772 4539168 5295696 5957658 6808752 7060928 7943544 9078336 10591392 11915316 13617504 15887088 21182784 23830632 27235008 31774176 47661264 63548352 95322528 190645056