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1002054420 = 223255566969
BaseRepresentation
bin111011101110100…
…010001100010100
32120211112122020200
4323232202030110
54023011220140
6243233300500
733555215313
oct7356421424
92524478220
101002054420
114746a7354
1223b704730
1312c7a9313
149712427a
155ce8a030
hex3bba2314

1002054420 has 36 divisors (see below), whose sum is σ = 3039565620. Its totient is φ = 267214464.

The previous prime is 1002054379. The next prime is 1002054457. The reversal of 1002054420 is 244502001.

1002054420 is a `hidden beast` number, since 100 + 2 + 0 + 544 + 20 = 666.

1002054420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 570827664 + 431226756 = 23892^2 + 20766^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10020544202 = 2008226121283072800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002054393 and 1002054402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2783305 + ... + 2783664.

Almost surely, 21002054420 is an apocalyptic number.

1002054420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002054420 is an abundant number, since it is smaller than the sum of its proper divisors (2037511200).

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

1002054420 is a wasteful number, since it uses less digits than its factorization.

1002054420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566984 (or 5566979 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1002054420 is about 31655.2431676018. The cubic root of 1002054420 is about 1000.6843382410.

Adding to 1002054420 its reverse (244502001), we get a palindrome (1246556421).

The spelling of 1002054420 in words is "one billion, two million, fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5566969 11133938 16700907 22267876 27834845 33401814 50102721 55669690 66803628 83504535 100205442 111339380 167009070 200410884 250513605 334018140 501027210 1002054420