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12639200 = 255273761
BaseRepresentation
bin110000001101…
…101111100000
3212210010201112
4300031233200
511213423300
61130522452
7212300660
oct60155740
925703645
1012639200
117153022
124296428
132806c22
1419701a0
151199e35
hexc0dbe0

12639200 has 144 divisors (see below), whose sum is σ = 36810144. Its totient is φ = 4147200.

The previous prime is 12639181. The next prime is 12639203. The reversal of 12639200 is 293621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12639203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207170 + ... + 207230.

It is an arithmetic number, because the mean of its divisors is an integer number (255626).

Almost surely, 212639200 is an apocalyptic number.

12639200 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 12639200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18405072).

12639200 is an abundant number, since it is smaller than the sum of its proper divisors (24170944).

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

12639200 is a wasteful number, since it uses less digits than its factorization.

12639200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 12639200 is about 3555.1652563559. The cubic root of 12639200 is about 232.9377423966.

The spelling of 12639200 in words is "twelve million, six hundred thirty-nine thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 50 56 61 70 74 80 100 112 122 140 148 160 175 185 200 224 244 259 280 296 305 350 370 400 427 488 518 560 592 610 700 740 800 854 925 976 1036 1120 1184 1220 1295 1400 1480 1525 1708 1850 1952 2072 2135 2257 2440 2590 2800 2960 3050 3416 3700 4144 4270 4514 4880 5180 5600 5920 6100 6475 6832 7400 8288 8540 9028 9760 10360 10675 11285 12200 12950 13664 14800 15799 17080 18056 20720 21350 22570 24400 25900 29600 31598 34160 36112 41440 42700 45140 48800 51800 56425 63196 68320 72224 78995 85400 90280 103600 112850 126392 157990 170800 180560 207200 225700 252784 315980 341600 361120 394975 451400 505568 631960 789950 902800 1263920 1579900 1805600 2527840 3159800 6319600 12639200