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3066301120 = 265231373041
BaseRepresentation
bin1011011011000100…
…0000101011000000
321220200210020101011
42312301000223000
522234433113440
61224133250304
7135662062261
oct26661005300
97820706334
103066301120
111333935463
12716a93994
1339b35957c
14211344968
1512e2dd9ea
hexb6c40ac0

3066301120 has 112 divisors (see below), whose sum is σ = 7677229248. Its totient is φ = 1164247040.

The previous prime is 3066301093. The next prime is 3066301151. The reversal of 3066301120 is 211036603.

It is a junction number, because it is equal to n+sod(n) for n = 3066301091 and 3066301100.

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, 1006800 + ... + 1009840.

Almost surely, 23066301120 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 3066301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838614624).

3066301120 is an abundant number, since it is smaller than the sum of its proper divisors (4610928128).

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

3066301120 is a wasteful number, since it uses less digits than its factorization.

3066301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3066301120 is about 55374.1918225449. The cubic root of 3066301120 is about 1452.7969983669.

Adding to 3066301120 its reverse (211036603), we get a palindrome (3277337723).

The spelling of 3066301120 in words is "three billion, sixty-six million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 137 160 184 230 274 320 368 460 548 685 736 920 1096 1370 1472 1840 2192 2740 3041 3151 3680 4384 5480 6082 6302 7360 8768 10960 12164 12604 15205 15755 21920 24328 25208 30410 31510 43840 48656 50416 60820 63020 69943 97312 100832 121640 126040 139886 194624 201664 243280 252080 279772 349715 416617 486560 504160 559544 699430 833234 973120 1008320 1119088 1398860 1666468 2083085 2238176 2797720 3332936 4166170 4476352 5595440 6665872 8332340 9582191 11190880 13331744 16664680 19164382 22381760 26663488 33329360 38328764 47910955 66658720 76657528 95821910 133317440 153315056 191643820 306630112 383287640 613260224 766575280 1533150560 3066301120