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2042060460 = 22351110313001
BaseRepresentation
bin111100110110111…
…0101111010101100
312021022111102022220
41321231311322230
513140231413320
6534344235340
7101414141016
oct17155657254
95238442286
102042060460
11958765280
1248ba6bb50
132670b29cb
141552c71b6
15be41ee40
hex79b75eac

2042060460 has 96 divisors (see below), whose sum is σ = 6245697024. Its totient is φ = 494400000.

The previous prime is 2042060453. The next prime is 2042060533. The reversal of 2042060460 is 640602402.

It is a self number, because there is not a number n which added to its sum of digits gives 2042060460.

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, 678960 + ... + 681960.

It is an arithmetic number, because the mean of its divisors is an integer number (65059344).

Almost surely, 22042060460 is an apocalyptic number.

2042060460 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 2042060460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122848512).

2042060460 is an abundant number, since it is smaller than the sum of its proper divisors (4203636564).

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

2042060460 is a wasteful number, since it uses less digits than its factorization.

2042060460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2042060460 is about 45189.1630814292. The cubic root of 2042060460 is about 1268.6919924299.

Adding to 2042060460 its reverse (640602402), we get a palindrome (2682662862).

The spelling of 2042060460 in words is "two billion, forty-two million, sixty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1031 2062 3001 3093 4124 5155 6002 6186 9003 10310 11341 12004 12372 15005 15465 18006 20620 22682 30010 30930 33011 34023 36012 45015 45364 56705 60020 61860 66022 68046 90030 99033 113410 132044 136092 165055 170115 180060 198066 226820 330110 340230 396132 495165 660220 680460 990330 1980660 3094031 6188062 9282093 12376124 15470155 18564186 30940310 34034341 37128372 46410465 61880620 68068682 92820930 102103023 136137364 170171705 185641860 204206046 340343410 408412092 510515115 680686820 1021030230 2042060460