Search a number
-
+
2164960420 = 225726957487
BaseRepresentation
bin1000000100001010…
…1010110010100100
312120212202101101021
42001002222302210
513413212213140
6554454340524
7104435600650
oct20102526244
95525671337
102164960420
11a11077897
1250505a744
132866b388c
14167759a60
15ca0e9b4a
hex810aaca4

2164960420 has 48 divisors (see below), whose sum is σ = 5215311360. Its totient is φ = 739499904.

The previous prime is 2164960417. The next prime is 2164960487. The reversal of 2164960420 is 240694612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8917 + ... + 66403.

It is an arithmetic number, because the mean of its divisors is an integer number (108652320).

Almost surely, 22164960420 is an apocalyptic number.

2164960420 is a gapful number since it is divisible by the number (20) 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 2164960420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607655680).

2164960420 is an abundant number, since it is smaller than the sum of its proper divisors (3050350940).

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

2164960420 is a wasteful number, since it uses less digits than its factorization.

2164960420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57772 (or 57770 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2164960420 is about 46529.1351735663. The cubic root of 2164960420 is about 1293.6495853670.

The spelling of 2164960420 in words is "two billion, one hundred sixty-four million, nine hundred sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 269 538 1076 1345 1883 2690 3766 5380 7532 9415 18830 37660 57487 114974 229948 287435 402409 574870 804818 1149740 1609636 2012045 4024090 8048180 15464003 30928006 61856012 77320015 108248021 154640030 216496042 309280060 432992084 541240105 1082480210 2164960420