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1252400 = 245231101
BaseRepresentation
bin100110001110000110000
32100121222012
410301300300
5310034100
642502052
713434212
oct4616060
92317865
101252400
11785a46
12504928
1334b086
142485b2
1519b135
hex131c30

1252400 has 60 divisors (see below), whose sum is σ = 3136704. Its totient is φ = 480000.

The previous prime is 1252399. The next prime is 1252403. The reversal of 1252400 is 42521.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1252403) 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, 12350 + ... + 12450.

21252400 is an apocalyptic number.

1252400 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 1252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568352).

1252400 is an abundant number, since it is smaller than the sum of its proper divisors (1884304).

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

1252400 is a wasteful number, since it uses less digits than its factorization.

1252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1252400 is about 1119.1067866830. The cubic root of 1252400 is about 107.7906323359.

Adding to 1252400 its reverse (42521), we get a palindrome (1294921).

The spelling of 1252400 in words is "one million, two hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 101 124 155 200 202 248 310 400 404 496 505 620 775 808 1010 1240 1550 1616 2020 2480 2525 3100 3131 4040 5050 6200 6262 8080 10100 12400 12524 15655 20200 25048 31310 40400 50096 62620 78275 125240 156550 250480 313100 626200 1252400