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2042054140 = 225729677507
BaseRepresentation
bin111100110110111…
…0100010111111100
312021022111002122211
41321231310113330
513140231213030
6534344150204
7101414113420
oct17155642774
95238432584
102042054140
11958760555
1248ba68364
132670acb79
141552c4b80
15be41d12a
hex79b745fc

2042054140 has 96 divisors (see below), whose sum is σ = 5146283520. Its totient is φ = 665812224.

The previous prime is 2042054101. The next prime is 2042054141. The reversal of 2042054140 is 414502402.

It is a happy number.

It is a super-2 number, since 2×20420541402 = 8339970221382279200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042054141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268267 + ... + 275773.

It is an arithmetic number, because the mean of its divisors is an integer number (53607120).

Almost surely, 22042054140 is an apocalyptic number.

2042054140 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 2042054140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573141760).

2042054140 is an abundant number, since it is smaller than the sum of its proper divisors (3104229380).

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

2042054140 is a wasteful number, since it uses less digits than its factorization.

2042054140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2042054140 is about 45189.0931531050. The cubic root of 2042054140 is about 1268.6906835980.

Adding to 2042054140 its reverse (414502402), we get a palindrome (2456556542).

The spelling of 2042054140 in words is "two billion, forty-two million, fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 67 70 116 134 140 145 203 268 290 335 406 469 580 670 812 938 1015 1340 1876 1943 2030 2345 3886 4060 4690 7507 7772 9380 9715 13601 15014 19430 27202 30028 37535 38860 52549 54404 68005 75070 105098 136010 150140 210196 217703 262745 272020 435406 502969 525490 870812 1005938 1050980 1088515 1523921 2011876 2177030 2514845 3047842 3520783 4354060 5029690 6095684 7041566 7619605 10059380 14083132 14586101 15239210 17603915 29172202 30478420 35207830 58344404 70415660 72930505 102102707 145861010 204205414 291722020 408410828 510513535 1021027070 2042054140