Search a number
-
+
1089724440 = 233571578263
BaseRepresentation
bin100000011110011…
…1110000000011000
32210221111201220110
41000330332000120
54212432140230
6300044324320
736001335120
oct10074760030
92727451813
101089724440
1150a137112
12264b436a0
131449c387c
14a4a25c80
1565a064b0
hex40f3e018

1089724440 has 128 divisors (see below), whose sum is σ = 3760450560. Its totient is φ = 247463424.

The previous prime is 1089724439. The next prime is 1089724477. The reversal of 1089724440 is 444279801.

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, 127749 + ... + 136011.

It is an arithmetic number, because the mean of its divisors is an integer number (29378520).

Almost surely, 21089724440 is an apocalyptic number.

1089724440 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 1089724440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880225280).

1089724440 is an abundant number, since it is smaller than the sum of its proper divisors (2670726120).

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

1089724440 is a wasteful number, since it uses less digits than its factorization.

1089724440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8441 (or 8437 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1089724440 is about 33010.9745387803. The cubic root of 1089724440 is about 1029.0557343393.

The spelling of 1089724440 in words is "one billion, eighty-nine million, seven hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 157 168 210 280 314 420 471 628 785 840 942 1099 1256 1570 1884 2198 2355 3140 3297 3768 4396 4710 5495 6280 6594 8263 8792 9420 10990 13188 16485 16526 18840 21980 24789 26376 32970 33052 41315 43960 49578 57841 65940 66104 82630 99156 115682 123945 131880 165260 173523 198312 231364 247890 289205 330520 347046 462728 495780 578410 694092 867615 991560 1156820 1297291 1388184 1735230 2313640 2594582 3470460 3891873 5189164 6486455 6940920 7783746 9081037 10378328 12972910 15567492 18162074 19459365 25945820 27243111 31134984 36324148 38918730 45405185 51891640 54486222 72648296 77837460 90810370 108972444 136215555 155674920 181620740 217944888 272431110 363241480 544862220 1089724440