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12757300 = 2252193661
BaseRepresentation
bin110000101010…
…100100110100
3220000010201121
4300222210310
511231213200
61133233324
7213302203
oct60524464
926003647
1012757300
117223826
124332844
1328488ca
1419a123a
1511bee1a
hexc2a934

12757300 has 36 divisors (see below), whose sum is σ = 27868876. Its totient is φ = 5068800.

The previous prime is 12757291. The next prime is 12757301. The reversal of 12757300 is 375721.

It can be written as a sum of positive squares in 6 ways, for example, as 183184 + 12574116 = 428^2 + 3546^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12757301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18970 + ... + 19630.

Almost surely, 212757300 is an apocalyptic number.

12757300 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 12757300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934438).

12757300 is an abundant number, since it is smaller than the sum of its proper divisors (15111576).

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

12757300 is a wasteful number, since it uses less digits than its factorization.

12757300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 12757300 is about 3571.7362724591. The cubic root of 12757300 is about 233.6610135319.

The spelling of 12757300 in words is "twelve million, seven hundred fifty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 661 772 965 1322 1930 2644 3305 3860 4825 6610 9650 13220 16525 19300 33050 66100 127573 255146 510292 637865 1275730 2551460 3189325 6378650 12757300