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12995190 = 23251329383
BaseRepresentation
bin110001100100…
…101001110110
3220110020001100
4301210221312
511311321230
61142310530
7215312565
oct61445166
926406040
1012995190
11737652a
124428446
1328ccc80
141a23bdc
15121a660
hexc64a76

12995190 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3080448.

The previous prime is 12995189. The next prime is 12995197. The reversal of 12995190 is 9159921.

12995190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×129951902 = 337749926272200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12995197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33739 + ... + 34121.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 212995190 is an apocalyptic number.

12995190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12995190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

12995190 is an abundant number, since it is smaller than the sum of its proper divisors (24744330).

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

12995190 is a wasteful number, since it uses less digits than its factorization.

12995190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 12995190 is about 3604.8841867666. The cubic root of 12995190 is about 235.1044654002.

The spelling of 12995190 in words is "twelve million, nine hundred ninety-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 383 390 435 522 585 754 766 870 1131 1149 1170 1305 1885 1915 2262 2298 2610 3393 3447 3770 3830 4979 5655 5745 6786 6894 9958 11107 11310 11490 14937 16965 17235 22214 24895 29874 33321 33930 34470 44811 49790 55535 66642 74685 89622 99963 111070 144391 149370 166605 199926 224055 288782 333210 433173 448110 499815 721955 866346 999630 1299519 1443910 2165865 2599038 4331730 6497595 12995190