Search a number
-
+
1100688468 = 2231119619709
BaseRepresentation
bin100000110011011…
…0010110001010100
32211201010202201120
41001212302301110
54223234012333
6301115323540
736163461165
oct10146626124
92751122646
101100688468
115153455a0
122687505b0
13147062169
14a627b76c
156696edb3
hex419b2c54

1100688468 has 96 divisors (see below), whose sum is σ = 2958144000. Its totient is φ = 315031680.

The previous prime is 1100688467. The next prime is 1100688493. The reversal of 1100688468 is 8648860011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100688461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1552098 + ... + 1552806.

It is an arithmetic number, because the mean of its divisors is an integer number (30814000).

Almost surely, 21100688468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100688468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479072000).

1100688468 is an abundant number, since it is smaller than the sum of its proper divisors (1857455532).

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

1100688468 is a wasteful number, since it uses less digits than its factorization.

1100688468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1100688468 is about 33176.6253256717. The cubic root of 1100688468 is about 1032.4954317015.

The spelling of 1100688468 in words is "one billion, one hundred million, six hundred eighty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 619 627 709 836 1238 1254 1418 1857 2127 2476 2508 2836 3714 4254 6809 7428 7799 8508 11761 13471 13618 15598 20427 23397 23522 26942 27236 31196 35283 40413 40854 46794 47044 53884 70566 80826 81708 93588 129371 141132 148181 161652 258742 296362 388113 438871 444543 517484 592724 776226 877742 889086 1316613 1552452 1755484 1778172 2633226 4827581 5266452 8338549 9655162 14482743 16677098 19310324 25015647 28965486 33354196 50031294 57930972 91724039 100062588 183448078 275172117 366896156 550344234 1100688468