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1430040200 = 235283277311
BaseRepresentation
bin101010100111100…
…1010111010001000
310200122212120100212
41111033022322020
510412042241300
6353522420252
750303066261
oct12517127210
93618776325
101430040200
11674247406
1233ab01688
1319a368b44
14d7cd1968
158582a935
hex553cae88

1430040200 has 96 divisors (see below), whose sum is σ = 3387908160. Its totient is φ = 561273600.

The previous prime is 1430040169. The next prime is 1430040211. The reversal of 1430040200 is 20400341.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4598045 + ... + 4598355.

It is an arithmetic number, because the mean of its divisors is an integer number (35290710).

Almost surely, 21430040200 is an apocalyptic number.

1430040200 is a gapful number since it is divisible by the number (10) 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 1430040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693954080).

1430040200 is an abundant number, since it is smaller than the sum of its proper divisors (1957867960).

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

1430040200 is a wasteful number, since it uses less digits than its factorization.

1430040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1430040200 is about 37815.8723289573. The cubic root of 1430040200 is about 1126.6337284038.

Adding to 1430040200 its reverse (20400341), we get a palindrome (1450440541).

The spelling of 1430040200 in words is "one billion, four hundred thirty million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 277 311 332 415 554 622 664 830 1108 1244 1385 1555 1660 2075 2216 2488 2770 3110 3320 4150 5540 6220 6925 7775 8300 11080 12440 13850 15550 16600 22991 25813 27700 31100 45982 51626 55400 62200 86147 91964 103252 114955 129065 172294 183928 206504 229910 258130 344588 430735 459820 516260 574775 645325 689176 861470 919640 1032520 1149550 1290650 1722940 2153675 2299100 2581300 3445880 4307350 4598200 5162600 7150201 8614700 14300402 17229400 28600804 35751005 57201608 71502010 143004020 178755025 286008040 357510050 715020100 1430040200