Search a number
-
+
191192040 = 233251340853
BaseRepresentation
bin10110110010101…
…01101111101000
3111022202120011200
423121111233220
5342421121130
630545524200
74511051124
oct1331255750
9438676150
10191192040
1198a17456
1254043660
13307c21b0
141b56c584
1511bb9760
hexb655be8

191192040 has 96 divisors (see below), whose sum is σ = 669188520. Its totient is φ = 47061504.

The previous prime is 191192021. The next prime is 191192051. The reversal of 191192040 is 40291191.

191192040 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 4 ways, for example, as 174398436 + 16793604 = 13206^2 + 4098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 191191995 and 191192013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15747 + ... + 25106.

Almost surely, 2191192040 is an apocalyptic number.

191192040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191192040 is an abundant number, since it is smaller than the sum of its proper divisors (477996480).

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

191192040 is a wasteful number, since it uses less digits than its factorization.

191192040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40883 (or 40876 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 191192040 is about 13827.2209789241. The cubic root of 191192040 is about 576.0894681627.

The spelling of 191192040 in words is "one hundred ninety-one million, one hundred ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 40853 81706 122559 163412 204265 245118 326824 367677 408530 490236 531089 612795 735354 817060 980472 1062178 1225590 1470708 1593267 1634120 1838385 2124356 2451180 2655445 2941416 3186534 3676770 4248712 4779801 4902360 5310890 6373068 7353540 7966335 9559602 10621780 12746136 14707080 15932670 19119204 21243560 23899005 31865340 38238408 47798010 63730680 95596020 191192040