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1287485304 = 2337312331061
BaseRepresentation
bin100110010111101…
…0111011101111000
310022201122000210220
41030233113131320
510114044012204
6331431140040
743622305320
oct11457273570
93281560726
101287485304
1160082a846
122bb214620
13176975931
14c2dc4280
157806c1d9
hex4cbd7778

1287485304 has 128 divisors (see below), whose sum is σ = 3817082880. Its totient is φ = 354124800.

The previous prime is 1287485299. The next prime is 1287485377. The reversal of 1287485304 is 4035847821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 1212934 + ... + 1213994.

It is an arithmetic number, because the mean of its divisors is an integer number (29820960).

Almost surely, 21287485304 is an apocalyptic number.

1287485304 is a gapful number since it is divisible by the number (14) 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 1287485304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908541440).

1287485304 is an abundant number, since it is smaller than the sum of its proper divisors (2529597576).

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

1287485304 is a wasteful number, since it uses less digits than its factorization.

1287485304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 1287485304 is about 35881.5454516664. The cubic root of 1287485304 is about 1087.8794177747.

It can be divided in two parts, 1287 and 485304, that added together give a triangular number (486591 = T986).

The spelling of 1287485304 in words is "one billion, two hundred eighty-seven million, four hundred eighty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 233 248 372 434 466 651 699 744 868 932 1061 1302 1398 1631 1736 1864 2122 2604 2796 3183 3262 4244 4893 5208 5592 6366 6524 7223 7427 8488 9786 12732 13048 14446 14854 19572 21669 22281 25464 28892 29708 32891 39144 43338 44562 50561 57784 59416 65782 86676 89124 98673 101122 131564 151683 173352 178248 197346 202244 230237 247213 263128 303366 394692 404488 460474 494426 606732 690711 741639 789384 920948 988852 1213464 1381422 1483278 1730491 1841896 1977704 2762844 2966556 3460982 5191473 5525688 5933112 6921964 7663603 10382946 13843928 15327206 20765892 22990809 30654412 41531784 45981618 53645221 61308824 91963236 107290442 160935663 183926472 214580884 321871326 429161768 643742652 1287485304