Search a number
-
+
190605636 = 2234132592
BaseRepresentation
bin10110101110001…
…10100101000100
3111021122202210000
423113012211010
5342243340021
630525201300
74503056364
oct1327064504
9437582700
10190605636
1198656921
1253a00230
1330648300
141b4589a4
1511b00b26
hexb5c6944

190605636 has 135 divisors (see below), whose sum is σ = 548858541. Its totient is φ = 57653856.

The previous prime is 190605629. The next prime is 190605637. The reversal of 190605636 is 636506091.

The square root of 190605636 is 13806.

It is a perfect power (a square), and thus also a powerful number.

190605636 is a `hidden beast` number, since 1 + 90 + 6 + 0 + 563 + 6 = 666.

190605636 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28196100 + 162409536 = 5310^2 + 12744^2 .

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 190605636.

It is not an unprimeable number, because it can be changed into a prime (190605637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3230575 + ... + 3230633.

Almost surely, 2190605636 is an apocalyptic number.

190605636 is the 13806-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190605636

190605636 is an abundant number, since it is smaller than the sum of its proper divisors (358252905).

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

190605636 is a wasteful number, since it uses less digits than its factorization.

190605636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The cubic root of 190605636 is about 575.4998914302.

Multiplying 190605636 by its sum of digits (36), we get a square (6861802896 = 828362).

190605636 divided by its sum of digits (36) gives a square (5294601 = 23012).

The spelling of 190605636 in words is "one hundred ninety million, six hundred five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 81 108 117 118 156 162 169 177 234 236 324 338 351 354 468 507 531 676 702 708 767 1014 1053 1062 1404 1521 1534 1593 2028 2106 2124 2301 3042 3068 3186 3481 4212 4563 4602 4779 6084 6372 6903 6962 9126 9204 9558 9971 10443 13689 13806 13924 18252 19116 19942 20709 20886 27378 27612 29913 31329 39884 41418 41772 45253 54756 59826 62127 62658 82836 89739 90506 93987 119652 124254 125316 135759 179478 181012 187974 248508 269217 271518 281961 358956 375948 407277 538434 543036 563922 588289 807651 814554 1076868 1127844 1176578 1221831 1615302 1629108 1764867 2353156 2443662 3230604 3529734 3665493 4887324 5294601 7059468 7330986 10589202 14661972 15883803 21178404 31767606 47651409 63535212 95302818 190605636