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1257141228 = 223717883997
BaseRepresentation
bin100101011101110…
…0111001111101100
310020121112101120020
41022323213033230
510033312004403
6324424522140
743103344530
oct11273471754
93217471506
101257141228
115956948a2
122b1020350
131705b0165
14bcd65bc0
1575576453
hex4aee73ec

1257141228 has 96 divisors (see below), whose sum is σ = 3557159424. Its totient is φ = 337333248.

The previous prime is 1257141187. The next prime is 1257141229. The reversal of 1257141228 is 8221417521.

It is not an unprimeable number, because it can be changed into a prime (1257141229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260426 + ... + 1261422.

It is an arithmetic number, because the mean of its divisors is an integer number (37053744).

Almost surely, 21257141228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257141228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778579712).

1257141228 is an abundant number, since it is smaller than the sum of its proper divisors (2300018196).

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

1257141228 is a wasteful number, since it uses less digits than its factorization.

1257141228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1909 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 1257141228 is about 35456.1874430966. The cubic root of 1257141228 is about 1079.2648254564.

Adding to 1257141228 its reverse (8221417521), we get a palindrome (9478558749).

The spelling of 1257141228 in words is "one billion, two hundred fifty-seven million, one hundred forty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 883 997 1428 1766 1994 2649 2991 3532 3988 5298 5982 6181 6979 10596 11964 12362 13958 15011 16949 18543 20937 24724 27916 30022 33898 37086 41874 45033 50847 60044 67796 74172 83748 90066 101694 105077 118643 180132 203388 210154 237286 315231 355929 420308 474572 630462 711858 880351 1260924 1423716 1760702 2641053 3521404 5282106 6162457 10564212 12324914 14965967 18487371 24649828 29931934 36974742 44897901 59863868 73949484 89795802 104761769 179591604 209523538 314285307 419047076 628570614 1257141228