Search a number
-
+
2860468240 = 245719268841
BaseRepresentation
bin1010101001111111…
…0100100000010000
321101100110211202011
42222133310200100
521324234440430
61151501432304
7130612402360
oct25237644020
97340424664
102860468240
111238729143
12679b6b694
1336780c376
141d1c849a0
1511b1d122a
hexaa7f4810

2860468240 has 80 divisors (see below), whose sum is σ = 8000737920. Its totient is φ = 929111040.

The previous prime is 2860468189. The next prime is 2860468271. The reversal of 2860468240 is 428640682.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2860468193 and 2860468202.

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, 123781 + ... + 145060.

It is an arithmetic number, because the mean of its divisors is an integer number (100009224).

Almost surely, 22860468240 is an apocalyptic number.

2860468240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2860468240 is an abundant number, since it is smaller than the sum of its proper divisors (5140269680).

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

2860468240 is a wasteful number, since it uses less digits than its factorization.

2860468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268880 (or 268874 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 2860468240 is about 53483.3454451009. The cubic root of 2860468240 is about 1419.5337092280.

The spelling of 2860468240 in words is "two billion, eight hundred sixty million, four hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 268841 537682 1075364 1344205 1881887 2150728 2688410 3763774 4301456 5107979 5376820 7527548 9409435 10215958 10753640 15055096 18818870 20431916 21507280 25539895 30110192 35755853 37637740 40863832 51079790 71511706 75275480 81727664 102159580 143023412 150550960 178779265 204319160 286046824 357558530 408638320 572093648 715117060 1430234120 2860468240