Search a number
-
+
1114454292 = 2237411512143
BaseRepresentation
bin100001001101101…
…0011100100010100
32212200001010212220
41002123103210110
54240300014132
6302330342340
736421463610
oct10233234424
92780033786
101114454292
11522098006
1227128a9b0
13149b71b13
14a8022340
1567c8da2c
hex426d3914

1114454292 has 96 divisors (see below), whose sum is σ = 3065954304. Its totient is φ = 308448000.

The previous prime is 1114454239. The next prime is 1114454321. The reversal of 1114454292 is 2924544111.

It is a congruent number.

It is an unprimeable number.

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, 518973 + ... + 521115.

It is an arithmetic number, because the mean of its divisors is an integer number (31937024).

Almost surely, 21114454292 is an apocalyptic number.

1114454292 is a gapful number since it is divisible by the number (12) 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 1114454292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532977152).

1114454292 is an abundant number, since it is smaller than the sum of its proper divisors (1951500012).

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

1114454292 is a wasteful number, since it uses less digits than its factorization.

1114454292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2347 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 1114454292 is about 33383.4433814129. The cubic root of 1114454292 is about 1036.7819325496.

The spelling of 1114454292 in words is "one billion, one hundred fourteen million, four hundred fifty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 151 164 246 287 302 453 492 574 604 861 906 1057 1148 1722 1812 2114 2143 3171 3444 4228 4286 6191 6342 6429 8572 12382 12684 12858 15001 18573 24764 25716 30002 37146 43337 45003 60004 74292 86674 87863 90006 130011 173348 175726 180012 260022 263589 323593 351452 520044 527178 615041 647186 970779 1054356 1230082 1294372 1845123 1941558 2265151 2460164 3690246 3883116 4530302 6795453 7380492 9060604 13267313 13590906 26534626 27181812 39801939 53069252 79603878 92871191 159207756 185742382 278613573 371484764 557227146 1114454292