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12951400 = 2352711292
BaseRepresentation
bin110001011001…
…111101101000
3220100222222111
4301121331220
511303421100
61141332104
7215041120
oct61317550
926328874
1012951400
117346640
124407034
1328b6067
141a11c80
15120c6ba
hexc59f68

12951400 has 144 divisors (see below), whose sum is σ = 38881440. Its totient is φ = 3897600.

The previous prime is 12951383. The next prime is 12951431. The reversal of 12951400 is 415921.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 446586 + ... + 446614.

It is an arithmetic number, because the mean of its divisors is an integer number (270010).

It is a vampire number, since it can be written as 14009251 (with its own digits).

Almost surely, 212951400 is an apocalyptic number.

12951400 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 12951400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440720).

12951400 is an abundant number, since it is smaller than the sum of its proper divisors (25930040).

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

12951400 is a wasteful number, since it uses less digits than its factorization.

12951400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 12951400 is about 3598.8053573373. The cubic root of 12951400 is about 234.8400903967.

It can be divided in two parts, 129 and 51400, that added together give a square (51529 = 2272).

The spelling of 12951400 in words is "twelve million, nine hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 29 35 40 44 50 55 56 58 70 77 88 100 110 116 140 145 154 175 200 203 220 232 275 280 290 308 319 350 385 406 440 550 580 616 638 700 725 770 812 841 1015 1100 1160 1276 1400 1450 1540 1595 1624 1682 1925 2030 2200 2233 2552 2900 3080 3190 3364 3850 4060 4205 4466 5075 5800 5887 6380 6728 7700 7975 8120 8410 8932 9251 10150 11165 11774 12760 15400 15950 16820 17864 18502 20300 21025 22330 23548 29435 31900 33640 37004 40600 42050 44660 46255 47096 55825 58870 63800 64757 74008 84100 89320 92510 111650 117740 129514 147175 168200 185020 223300 231275 235480 259028 294350 323785 370040 446600 462550 518056 588700 647570 925100 1177400 1295140 1618925 1850200 2590280 3237850 6475700 12951400