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2054141140 = 2255310131913
BaseRepresentation
bin111101001101111…
…1011010011010100
312022011020011220111
41322123323103110
513201330004030
6535455212404
7101621624452
oct17233732324
95264204814
102054141140
11964566707
12493b17104
1326975263c
14156b4d9d2
15c050962a
hex7a6fb4d4

2054141140 has 48 divisors (see below), whose sum is σ = 4401725328. Its totient is φ = 804936704.

The previous prime is 2054141101. The next prime is 2054141197. The reversal of 2054141140 is 411414502.

It can be written as a sum of positive squares in 8 ways, for example, as 28601104 + 2025540036 = 5348^2 + 45006^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072824 + ... + 1074736.

It is an arithmetic number, because the mean of its divisors is an integer number (91702611).

Almost surely, 22054141140 is an apocalyptic number.

2054141140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2054141140 is an abundant number, since it is smaller than the sum of its proper divisors (2347584188).

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

2054141140 is a wasteful number, since it uses less digits than its factorization.

2054141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2054141140 is about 45322.6338599160. The cubic root of 2054141140 is about 1271.1889046451.

Adding to 2054141140 its reverse (411414502), we get a palindrome (2465555642).

The spelling of 2054141140 in words is "two billion, fifty-four million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1013 1060 1913 2026 3826 4052 5065 7652 9565 10130 19130 20260 38260 53689 101389 107378 202778 214756 268445 405556 506945 536890 1013890 1073780 1937869 2027780 3875738 7751476 9689345 19378690 38757380 102707057 205414114 410828228 513535285 1027070570 2054141140