Search a number
-
+
1024869240 = 233351396827
BaseRepresentation
bin111101000101100…
…100001101111000
32122102110202022000
4331011210031320
54044331303430
6245410301000
734253146653
oct7505441570
92572422260
101024869240
1148656a47a
12247287760
13134436a05
149a18289a
155ee94e60
hex3d164378

1024869240 has 128 divisors (see below), whose sum is σ = 3441312000. Its totient is φ = 271292544.

The previous prime is 1024869217. The next prime is 1024869281. The reversal of 1024869240 is 429684201.

1024869240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1024869195 and 1024869204.

It is a congruent number.

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, 146707 + ... + 153533.

It is an arithmetic number, because the mean of its divisors is an integer number (26885250).

Almost surely, 21024869240 is an apocalyptic number.

1024869240 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 1024869240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720656000).

1024869240 is an abundant number, since it is smaller than the sum of its proper divisors (2416442760).

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

1024869240 is a wasteful number, since it uses less digits than its factorization.

1024869240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1024869240 is about 32013.5789939207. The cubic root of 1024869240 is about 1008.2219607580.

The spelling of 1024869240 in words is "one billion, twenty-four million, eight hundred sixty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 139 180 216 270 278 360 417 540 556 695 834 1080 1112 1251 1390 1668 2085 2502 2780 3336 3753 4170 5004 5560 6255 6827 7506 8340 10008 12510 13654 15012 16680 18765 20481 25020 27308 30024 34135 37530 40962 50040 54616 61443 68270 75060 81924 102405 122886 136540 150120 163848 184329 204810 245772 273080 307215 368658 409620 491544 614430 737316 819240 921645 948953 1228860 1474632 1843290 1897906 2457720 2846859 3686580 3795812 4744765 5693718 7373160 7591624 8540577 9489530 11387436 14234295 17081154 18979060 22774872 25621731 28468590 34162308 37958120 42702885 51243462 56937180 68324616 85405770 102486924 113874360 128108655 170811540 204973848 256217310 341623080 512434620 1024869240