Search a number
-
+
1389944040 = 233543972777
BaseRepresentation
bin101001011011000…
…1101110011101000
310120212102110202220
41102312031303220
510321311202130
6345531154040
746305220662
oct12266156350
93525373686
101389944040
11653650591
123295a5920
13191c6a5c4
14d2855532
158205a410
hex52d8dce8

1389944040 has 128 divisors (see below), whose sum is σ = 4312344960. Its totient is φ = 358170624.

The previous prime is 1389943963. The next prime is 1389944047. The reversal of 1389944040 is 404499831.

1389944040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1389943983 and 1389944001.

It is not an unprimeable number, because it can be changed into a prime (1389944047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499132 + ... + 501908.

It is an arithmetic number, because the mean of its divisors is an integer number (33690195).

Almost surely, 21389944040 is an apocalyptic number.

1389944040 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 1389944040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156172480).

1389944040 is an abundant number, since it is smaller than the sum of its proper divisors (2922400920).

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

1389944040 is a wasteful number, since it uses less digits than its factorization.

1389944040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1389944040 is about 37281.9532750096. The cubic root of 1389944040 is about 1116.0040531192.

The spelling of 1389944040 in words is "one billion, three hundred eighty-nine million, nine hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 97 120 129 172 194 215 258 291 344 388 430 485 516 582 645 776 860 970 1032 1164 1290 1455 1720 1940 2328 2580 2777 2910 3880 4171 5160 5554 5820 8331 8342 11108 11640 12513 13885 16662 16684 20855 22216 25026 27770 33324 33368 41655 41710 50052 55540 62565 66648 83310 83420 100104 111080 119411 125130 166620 166840 238822 250260 269369 333240 358233 477644 500520 538738 597055 716466 808107 955288 1077476 1194110 1346845 1432932 1616214 1791165 2154952 2388220 2693690 2865864 3232428 3582330 4040535 4776440 5387380 6464856 7164660 8081070 10774760 11582867 14329320 16162140 23165734 32324280 34748601 46331468 57914335 69497202 92662936 115828670 138994404 173743005 231657340 277988808 347486010 463314680 694972020 1389944040