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12613300 = 2252737487
BaseRepresentation
bin110000000111…
…011010110100
3212201211012021
4300013122310
511212111200
61130202524
7212132320
oct60073264
925654167
1012613300
117135617
124283444
1327c81bb
141964980
15119241a
hexc076b4

12613300 has 72 divisors (see below), whose sum is σ = 32192384. Its totient is φ = 4199040.

The previous prime is 12613291. The next prime is 12613301. The reversal of 12613300 is 331621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12613301) 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, 25657 + ... + 26143.

Almost surely, 212613300 is an apocalyptic number.

12613300 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 12613300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096192).

12613300 is an abundant number, since it is smaller than the sum of its proper divisors (19579084).

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

12613300 is a wasteful number, since it uses less digits than its factorization.

12613300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 12613300 is about 3551.5208010091. The cubic root of 12613300 is about 232.7785231109.

Adding to 12613300 its reverse (331621), we get a palindrome (12944921).

The spelling of 12613300 in words is "twelve million, six hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 487 518 700 740 925 974 1036 1295 1850 1948 2435 2590 3409 3700 4870 5180 6475 6818 9740 12175 12950 13636 17045 18019 24350 25900 34090 36038 48700 68180 72076 85225 90095 126133 170450 180190 252266 340900 360380 450475 504532 630665 900950 1261330 1801900 2522660 3153325 6306650 12613300