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2054352120 = 2335101169501
BaseRepresentation
bin111101001110010…
…1110110011111000
312022011121220022120
41322130232303320
513201403231440
6535503521240
7101623463532
oct17234566370
95264556276
102054352120
119646a0177
12493bb9220
132697c7692
14156ba6852
15c054bdd0
hex7a72ecf8

2054352120 has 64 divisors (see below), whose sum is σ = 6224113440. Its totient is φ = 542400000.

The previous prime is 2054352089. The next prime is 2054352121. The reversal of 2054352120 is 212534502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054352121) by changing a digit.

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, 72631 + ... + 96870.

Almost surely, 22054352120 is an apocalyptic number.

2054352120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2054352120 is an abundant number, since it is smaller than the sum of its proper divisors (4169761320).

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

2054352120 is a wasteful number, since it uses less digits than its factorization.

2054352120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169616 (or 169612 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2054352120 is about 45324.9613347877. The cubic root of 2054352120 is about 1271.2324242534.

Adding to 2054352120 its reverse (212534502), we get a palindrome (2266886622).

The spelling of 2054352120 in words is "two billion, fifty-four million, three hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 169501 339002 508503 678004 847505 1017006 1356008 1695010 2034012 2542515 3390020 4068024 5085030 6780040 10170060 17119601 20340120 34239202 51358803 68478404 85598005 102717606 136956808 171196010 205435212 256794015 342392020 410870424 513588030 684784040 1027176060 2054352120