Search a number
-
+
1256130400 = 25527224309
BaseRepresentation
bin100101011011111…
…0000011101100000
310020112122000222011
41022313300131200
510033032133100
6324351122304
743061634520
oct11267603540
93215560864
101256130400
115950643a8
122b0813394
13170318035
14bcb81680
1575426bba
hex4adf0760

1256130400 has 72 divisors (see below), whose sum is σ = 3504619440. Its totient is φ = 430671360.

The previous prime is 1256130397. The next prime is 1256130401. The reversal of 1256130400 is 40316521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256130401) 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, 106555 + ... + 117754.

It is an arithmetic number, because the mean of its divisors is an integer number (48675270).

Almost surely, 21256130400 is an apocalyptic number.

1256130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1256130400 is an abundant number, since it is smaller than the sum of its proper divisors (2248489040).

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

1256130400 is a wasteful number, since it uses less digits than its factorization.

1256130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224336 (or 224323 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1256130400 is about 35441.9299700228. The cubic root of 1256130400 is about 1078.9754801780.

Adding to 1256130400 its reverse (40316521), we get a palindrome (1296446921).

The spelling of 1256130400 in words is "one billion, two hundred fifty-six million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 224309 448618 897236 1121545 1570163 1794472 2243090 3140326 3588944 4486180 5607725 6280652 7177888 7850815 8972360 11215450 12561304 15701630 17944720 22430900 25122608 31403260 35889440 39254075 44861800 50245216 62806520 78508150 89723600 125613040 157016300 179447200 251226080 314032600 628065200 1256130400