Search a number
-
+
1054250010 = 2325112131739
BaseRepresentation
bin111110110101101…
…001010000011010
32201110202110010200
4332311221100122
54124342000020
6252340123030
735060656122
oct7665512032
92643673120
101054250010
114a1107700
12255096476
1313a552b98
14a002dc82
156284a590
hex3ed6941a

1054250010 has 144 divisors (see below), whose sum is σ = 3039996960. Its totient is φ = 253281600.

The previous prime is 1054250009. The next prime is 1054250027. The reversal of 1054250010 is 100524501.

It is a super-2 number, since 2×10542500102 = 2222886167170000200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1426221 + ... + 1426959.

It is an arithmetic number, because the mean of its divisors is an integer number (21111090).

Almost surely, 21054250010 is an apocalyptic number.

1054250010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054250010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519998480).

1054250010 is an abundant number, since it is smaller than the sum of its proper divisors (1985746950).

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

1054250010 is a wasteful number, since it uses less digits than its factorization.

1054250010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1054250010 is about 32469.2163441005. The cubic root of 1054250010 is about 1017.7658423951.

Adding to 1054250010 its reverse (100524501), we get a palindrome (1154774511).

The spelling of 1054250010 in words is "one billion, fifty-four million, two hundred fifty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 131 165 198 242 262 330 363 393 495 605 655 726 739 786 990 1089 1179 1210 1310 1441 1478 1815 1965 2178 2217 2358 2882 3630 3695 3930 4323 4434 5445 5895 6651 7205 7390 8129 8646 10890 11085 11790 12969 13302 14410 15851 16258 21615 22170 24387 25938 31702 33255 40645 43230 47553 48774 64845 66510 73161 79255 81290 89419 95106 96809 121935 129690 142659 146322 158510 178838 193618 237765 243870 268257 285318 290427 365805 447095 475530 484045 536514 580854 713295 731610 804771 871281 894190 968090 1064899 1341285 1426590 1452135 1609542 1742562 2129798 2682570 2904270 3194697 4023855 4356405 5324495 6389394 8047710 8712810 9584091 10648990 11713889 15973485 19168182 23427778 31946970 35141667 47920455 58569445 70283334 95840910 105425001 117138890 175708335 210850002 351416670 527125005 1054250010