Search a number
-
+
3124453120 = 285171391033
BaseRepresentation
bin1011101000111011…
…0101111100000000
322001202012122220221
42322032311330000
522344324444440
61234011512424
7140266261525
oct27216657400
98052178827
103124453120
111363743968
12732458714
133aa40a339
14218d6114c
15134478d4a
hexba3b5f00

3124453120 has 144 divisors (see below), whose sum is σ = 7989014880. Its totient is φ = 1166671872.

The previous prime is 3124453109. The next prime is 3124453153. The reversal of 3124453120 is 213544213.

3124453120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3024124 + ... + 3025156.

It is an arithmetic number, because the mean of its divisors is an integer number (55479270).

Almost surely, 23124453120 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 3124453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994507440).

3124453120 is an abundant number, since it is smaller than the sum of its proper divisors (4864561760).

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

3124453120 is a wasteful number, since it uses less digits than its factorization.

3124453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3124453120 is about 55896.8077800513. The cubic root of 3124453120 is about 1461.9235795005.

Adding to 3124453120 its reverse (213544213), we get a palindrome (3337997333).

The spelling of 3124453120 in words is "three billion, one hundred twenty-four million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 139 160 170 256 272 278 320 340 544 556 640 680 695 1033 1088 1112 1280 1360 1390 2066 2176 2224 2363 2720 2780 4132 4352 4448 4726 5165 5440 5560 8264 8896 9452 10330 10880 11120 11815 16528 17561 17792 18904 20660 21760 22240 23630 33056 35122 35584 37808 41320 44480 47260 66112 70244 75616 82640 87805 88960 94520 132224 140488 143587 151232 165280 175610 177920 189040 264448 280976 287174 302464 330560 351220 378080 561952 574348 604928 661120 702440 717935 756160 1123904 1148696 1322240 1404880 1435870 1512320 2247808 2297392 2440979 2809760 2871740 3024640 4495616 4594784 4881958 5619520 5743480 9189568 9763916 11239040 11486960 12204895 18379136 19527832 22478080 22973920 24409790 36758272 39055664 45947840 48819580 78111328 91895680 97639160 156222656 183791360 195278320 312445312 390556640 624890624 781113280 1562226560 3124453120