Search a number
-
+
3140978120 = 235711939403
BaseRepresentation
bin1011101100110111…
…1000010111001000
322002220022012221222
42323031320113020
522413042244440
61235402021212
7140556605420
oct27315702710
98086265858
103140978120
111372000395
12737aa7808
133b0974b47
1421b223480
15135b402b5
hexbb3785c8

3140978120 has 64 divisors (see below), whose sum is σ = 8084430720. Its totient is φ = 1075889664.

The previous prime is 3140978083. The next prime is 3140978147. The reversal of 3140978120 is 218790413.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329339 + ... + 338741.

It is an arithmetic number, because the mean of its divisors is an integer number (126319230).

Almost surely, 23140978120 is an apocalyptic number.

It is an amenable number.

3140978120 is an abundant number, since it is smaller than the sum of its proper divisors (4943452600).

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

3140978120 is a wasteful number, since it uses less digits than its factorization.

3140978120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 3140978120 is about 56044.4298748770. The cubic root of 3140978120 is about 1464.4963840275.

The spelling of 3140978120 in words is "three billion, one hundred forty million, nine hundred seventy-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1193 2386 4772 5965 8351 9403 9544 11930 16702 18806 23860 33404 37612 41755 47015 47720 65821 66808 75224 83510 94030 131642 167020 188060 263284 329105 334040 376120 526568 658210 1316420 2632840 11217779 22435558 44871116 56088895 78524453 89742232 112177790 157048906 224355580 314097812 392622265 448711160 628195624 785244530 1570489060 3140978120