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12995820 = 223251731137
BaseRepresentation
bin110001100100…
…110011101100
3220110020220200
4301210303230
511311331240
61142313500
7215314455
oct61446354
926406820
1012995820
117376a52
124428890
132900346
141a2412c
15121a930
hexc64cec

12995820 has 144 divisors (see below), whose sum is σ = 43400448. Its totient is φ = 3133440.

The previous prime is 12995797. The next prime is 12995821. The reversal of 12995820 is 2859921.

12995820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12995821) 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, 94792 + ... + 94928.

It is an arithmetic number, because the mean of its divisors is an integer number (301392).

Almost surely, 212995820 is an apocalyptic number.

12995820 is a gapful number since it is divisible by the number (10) 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 12995820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700224).

12995820 is an abundant number, since it is smaller than the sum of its proper divisors (30404628).

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

12995820 is a wasteful number, since it uses less digits than its factorization.

12995820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 12995820 is about 3604.9715671556. The cubic root of 12995820 is about 235.1082645859.

The spelling of 12995820 in words is "twelve million, nine hundred ninety-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 137 153 155 170 180 186 204 255 274 279 306 310 340 372 411 465 510 527 548 558 612 620 685 765 822 930 1020 1054 1116 1233 1370 1395 1530 1581 1644 1860 2055 2108 2329 2466 2635 2740 2790 3060 3162 4110 4247 4658 4743 4932 5270 5580 6165 6324 6987 7905 8220 8494 9316 9486 10540 11645 12330 12741 13974 15810 16988 18972 20961 21235 23290 23715 24660 25482 27948 31620 34935 38223 41922 42470 46580 47430 50964 63705 69870 72199 76446 83844 84940 94860 104805 127410 139740 144398 152892 191115 209610 216597 254820 288796 360995 382230 419220 433194 649791 721990 764460 866388 1082985 1299582 1443980 2165970 2599164 3248955 4331940 6497910 12995820