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2054503240 = 23573821857
BaseRepresentation
bin111101001110101…
…0011101101001000
312022011220120121121
41322131103231020
513201423100430
6535511045024
7101624663236
oct17235235510
95264816547
102054503240
11964793769
12494070774
1326984b3ba
14156c05956
15c057ba7a
hex7a753b48

2054503240 has 64 divisors (see below), whose sum is σ = 4697138160. Its totient is φ = 808611840.

The previous prime is 2054503147. The next prime is 2054503247. The reversal of 2054503240 is 423054502.

It can be written as a sum of positive squares in 8 ways, for example, as 1232992996 + 821510244 = 35114^2 + 28662^2 .

It is not an unprimeable number, because it can be changed into a prime (2054503247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2396892 + ... + 2397748.

Almost surely, 22054503240 is an apocalyptic number.

2054503240 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 2054503240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348569080).

2054503240 is an abundant number, since it is smaller than the sum of its proper divisors (2642634920).

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

2054503240 is a wasteful number, since it uses less digits than its factorization.

2054503240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2054503240 is about 45326.6283767059. The cubic root of 2054503240 is about 1271.2635944915.

Adding to 2054503240 its reverse (423054502), we get a palindrome (2477557742).

The spelling of 2054503240 in words is "two billion, fifty-four million, five hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 821 857 1460 1642 1714 2920 3284 3428 4105 4285 6568 6856 8210 8570 16420 17140 32840 34280 59933 62561 119866 125122 239732 250244 299665 312805 479464 500488 599330 625610 703597 1198660 1251220 1407194 2397320 2502440 2814388 3517985 5628776 7035970 14071940 28143880 51362581 102725162 205450324 256812905 410900648 513625810 1027251620 2054503240