Search a number
-
+
3056418120 = 23357374257
BaseRepresentation
bin1011011000101101…
…0011110101001000
321220000012010110010
42312023103311020
522224420334440
61223141351520
7135512061000
oct26613236510
97800163403
103056418120
1113292a5198
127137085a0
133992a9042
1420dcd1000
1512d4da580
hexb62d3d48

3056418120 has 128 divisors (see below), whose sum is σ = 10693152000. Its totient is φ = 698600448.

The previous prime is 3056418047. The next prime is 3056418137. The reversal of 3056418120 is 218146503.

3056418120 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 Harshad number since it is a multiple of its sum of digits (30).

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, 4032 + ... + 78288.

It is an arithmetic number, because the mean of its divisors is an integer number (83540250).

Almost surely, 23056418120 is an apocalyptic number.

3056418120 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 3056418120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346576000).

3056418120 is an abundant number, since it is smaller than the sum of its proper divisors (7636733880).

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

3056418120 is a wasteful number, since it uses less digits than its factorization.

3056418120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74292 (or 74274 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3056418120 is about 55284.8814776698. The cubic root of 3056418120 is about 1451.2344810091.

It can be divided in two parts, 30564 and 18120, that added together give a palindrome (48684).

The spelling of 3056418120 in words is "three billion, fifty-six million, four hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 41160 74257 148514 222771 297028 371285 445542 519799 594056 742570 891084 1039598 1113855 1485140 1559397 1782168 2079196 2227710 2598995 2970280 3118794 3638593 4158392 4455420 5197990 6237588 7277186 7796985 8910840 10395980 10915779 12475176 14554372 15593970 18192965 20791960 21831558 25470151 29108744 31187940 36385930 43663116 50940302 54578895 62375880 72771860 76410453 87326232 101880604 109157790 127350755 145543720 152820906 203761208 218315580 254701510 305641812 382052265 436631160 509403020 611283624 764104530 1018806040 1528209060 3056418120