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12953850 = 2352713273
BaseRepresentation
bin110001011010…
…100011111010
3220101010100020
4301122203322
511304010400
61141351310
7215051220
oct61324372
926333306
1012953850
117348468
124408536
1328b7200
141a12b10
15120d2a0
hexc5a8fa

12953850 has 144 divisors (see below), whose sum is σ = 40300992. Its totient is φ = 2695680.

The previous prime is 12953821. The next prime is 12953869. The reversal of 12953850 is 5835921.

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 71 ways as a sum of consecutive naturals, for example, 177414 + ... + 177486.

It is an arithmetic number, because the mean of its divisors is an integer number (279868).

Almost surely, 212953850 is an apocalyptic number.

12953850 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 12953850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20150496).

12953850 is an abundant number, since it is smaller than the sum of its proper divisors (27347142).

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

12953850 is a wasteful number, since it uses less digits than its factorization.

12953850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 12953850 is about 3599.1457319759. The cubic root of 12953850 is about 234.8548975976.

The spelling of 12953850 in words is "twelve million, nine hundred fifty-three thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 73 75 78 91 105 130 146 150 169 175 182 195 210 219 273 325 338 350 365 390 438 455 507 511 525 546 650 730 845 910 949 975 1014 1022 1050 1095 1183 1365 1533 1690 1825 1898 1950 2190 2275 2366 2535 2555 2730 2847 3066 3549 3650 4225 4550 4745 5070 5110 5475 5694 5915 6643 6825 7098 7665 8450 9490 10950 11830 12337 12675 12775 13286 13650 14235 15330 17745 19929 23725 24674 25350 25550 28470 29575 33215 35490 37011 38325 39858 47450 59150 61685 66430 71175 74022 76650 86359 88725 99645 123370 142350 166075 172718 177450 185055 199290 259077 308425 332150 370110 431795 498225 518154 616850 863590 925275 996450 1295385 1850550 2158975 2590770 4317950 6476925 12953850