Search a number
-
+
1030866768 = 2432371631187
BaseRepresentation
bin111101011100011…
…100011101010000
32122211202110100200
4331130130131100
54102400214033
6250143015200
734355136321
oct7534343520
92584673320
101030866768
11489996508
1224929a500
13135756849
149aca4448
156077c013
hex3d71c750

1030866768 has 120 divisors (see below), whose sum is σ = 2983657248. Its totient is φ = 332004096.

The previous prime is 1030866761. The next prime is 1030866769. The reversal of 1030866768 is 8676680301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030866761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867871 + ... + 869057.

Almost surely, 21030866768 is an apocalyptic number.

1030866768 is a gapful number since it is divisible by the number (18) 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 1030866768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491828624).

1030866768 is an abundant number, since it is smaller than the sum of its proper divisors (1952790480).

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

1030866768 is a wasteful number, since it uses less digits than its factorization.

1030866768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1030866768 is about 32107.1139780579. The cubic root of 1030866768 is about 1010.1848395490.

The spelling of 1030866768 in words is "one billion, thirty million, eight hundred sixty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 163 222 296 326 333 444 489 592 652 666 888 978 1187 1304 1332 1467 1776 1956 2374 2608 2664 2934 3561 3912 4748 5328 5868 6031 7122 7824 9496 10683 11736 12062 14244 18093 18992 21366 23472 24124 28488 36186 42732 43919 48248 54279 56976 72372 85464 87838 96496 108558 131757 144744 170928 175676 193481 217116 263514 289488 351352 386962 395271 434232 527028 580443 702704 773924 790542 868464 1054056 1160886 1547848 1581084 1741329 2108112 2321772 3095696 3162168 3482658 4643544 6324336 6965316 7158797 9287088 13930632 14317594 21476391 27861264 28635188 42952782 57270376 64429173 85905564 114540752 128858346 171811128 257716692 343622256 515433384 1030866768