Search a number
-
+
3000163680 = 253252971843
BaseRepresentation
bin1011001011010010…
…1101110101100000
321202002100002212100
42302310231311200
522121020214210
61213411530400
7134226653613
oct26264556540
97662302770
103000163680
1112aa572418
126b88b9a00
1338a740ba7
1420664a17a
151285c75c0
hexb2d2dd60

3000163680 has 144 divisors (see below), whose sum is σ = 10591242480. Its totient is φ = 772445184.

The previous prime is 3000163657. The next prime is 3000163693. The reversal of 3000163680 is 863610003.

3000163680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×30001636802 = 18001964213582284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5839 + ... + 77681.

It is an arithmetic number, because the mean of its divisors is an integer number (73550295).

Almost surely, 23000163680 is an apocalyptic number.

3000163680 is a gapful number since it is divisible by the number (30) 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 3000163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295621240).

3000163680 is an abundant number, since it is smaller than the sum of its proper divisors (7591078800).

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

3000163680 is a wasteful number, since it uses less digits than its factorization.

3000163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71893 (or 71882 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3000163680 is about 54773.7499172733. The cubic root of 3000163680 is about 1442.2757995426.

Adding to 3000163680 its reverse (863610003), we get a palindrome (3863773683).

The spelling of 3000163680 in words is "three billion, one hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5220 6960 8352 10440 13920 20880 41760 71843 143686 215529 287372 359215 431058 574744 646587 718430 862116 1077645 1149488 1293174 1436860 1724232 2083447 2155290 2298976 2586348 2873720 3232935 3448464 4166894 4310580 5172696 5747440 6250341 6465870 6896928 8333788 8621160 10345392 10417235 11494880 12500682 12931740 16667576 17242320 18751023 20690784 20834470 25001364 25863480 31251705 33335152 34484640 37502046 41668940 50002728 51726960 62503410 66670304 75004092 83337880 93755115 100005456 103453920 125006820 150008184 166675760 187510230 200010912 250013640 300016368 333351520 375020460 500027280 600032736 750040920 1000054560 1500081840 3000163680