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1289461420 = 2251323383563
BaseRepresentation
bin100110011011011…
…1001111010101100
310022212100102112101
41030312321322230
510120100231140
6331541344444
743645145512
oct11466717254
93285312471
101289461420
1160195a4a5
122bba08124
131771b8230
14c337a4b2
157830c99a
hex4cdb9eac

1289461420 has 96 divisors (see below), whose sum is σ = 3056320512. Its totient is φ = 453412608.

The previous prime is 1289461379. The next prime is 1289461447. The reversal of 1289461420 is 241649821.

It is a self number, because there is not a number n which added to its sum of digits gives 1289461420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2290059 + ... + 2290621.

It is an arithmetic number, because the mean of its divisors is an integer number (31836672).

Almost surely, 21289461420 is an apocalyptic number.

1289461420 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 1289461420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528160256).

1289461420 is an abundant number, since it is smaller than the sum of its proper divisors (1766859092).

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

1289461420 is a wasteful number, since it uses less digits than its factorization.

1289461420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 1289461420 is about 35909.0715558061. The cubic root of 1289461420 is about 1088.4357159015.

The spelling of 1289461420 in words is "one billion, two hundred eighty-nine million, four hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 383 460 563 598 766 1126 1196 1495 1532 1915 2252 2815 2990 3830 4979 5630 5980 7319 7660 8809 9958 11260 12949 14638 17618 19916 24895 25898 29276 35236 36595 44045 49790 51796 64745 73190 88090 99580 114517 129490 146380 168337 176180 215629 229034 258980 336674 431258 458068 572585 673348 841685 862516 1078145 1145170 1683370 2156290 2290340 2803177 3366740 4312580 4959467 5606354 9918934 11212708 14015885 19837868 24797335 28031770 49594670 56063540 64473071 99189340 128946142 257892284 322365355 644730710 1289461420