Search a number
-
+
1285350864 = 243726914221
BaseRepresentation
bin100110010011100…
…1110010111010000
310022120121120220120
41030213032113100
510113022211424
6331313310240
743565205420
oct11447162720
93276546816
101285350864
115aa602146
122ba565380
131763a9255
14c29ca480
1577c99a79
hex4c9ce5d0

1285350864 has 80 divisors (see below), whose sum is σ = 3809220480. Its totient is φ = 365852160.

The previous prime is 1285350839. The next prime is 1285350907. The reversal of 1285350864 is 4680535821.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83274 + ... + 97494.

It is an arithmetic number, because the mean of its divisors is an integer number (47615256).

Almost surely, 21285350864 is an apocalyptic number.

1285350864 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 1285350864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904610240).

1285350864 is an abundant number, since it is smaller than the sum of its proper divisors (2523869616).

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

1285350864 is a wasteful number, since it uses less digits than its factorization.

1285350864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14508 (or 14502 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 1285350864 is about 35851.7902481870. The cubic root of 1285350864 is about 1087.2779098861.

The spelling of 1285350864 in words is "one billion, two hundred eighty-five million, three hundred fifty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 269 336 538 807 1076 1614 1883 2152 3228 3766 4304 5649 6456 7532 11298 12912 14221 15064 22596 28442 30128 42663 45192 56884 85326 90384 99547 113768 170652 199094 227536 298641 341304 398188 597282 682608 796376 1194564 1592752 2389128 3825449 4778256 7650898 11476347 15301796 22952694 26778143 30603592 45905388 53556286 61207184 80334429 91810776 107112572 160668858 183621552 214225144 321337716 428450288 642675432 1285350864