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1430240200 = 235219438753
BaseRepresentation
bin101010100111111…
…1011101111001000
310200200020201201021
41111033323233020
510412120141300
6353531002224
750304561334
oct12517735710
93620221637
101430240200
116743736a4
1233ab99374
1319a408b9c
14d7d447c4
1585869d1a
hex553fbbc8

1430240200 has 96 divisors (see below), whose sum is σ = 3582136800. Its totient is φ = 529320960.

The previous prime is 1430240197. The next prime is 1430240233. The reversal of 1430240200 is 20420341.

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 23 ways as a sum of consecutive naturals, for example, 159024 + ... + 167776.

It is an arithmetic number, because the mean of its divisors is an integer number (37313925).

Almost surely, 21430240200 is an apocalyptic number.

1430240200 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 1430240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791068400).

1430240200 is an abundant number, since it is smaller than the sum of its proper divisors (2151896600).

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

1430240200 is a wasteful number, since it uses less digits than its factorization.

1430240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8831 (or 8822 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1430240200 is about 37818.5166287627. The cubic root of 1430240200 is about 1126.6862481959.

Adding to 1430240200 its reverse (20420341), we get a palindrome (1450660541).

The spelling of 1430240200 in words is "one billion, four hundred thirty million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 43 50 76 86 95 100 152 172 190 200 215 344 380 430 475 760 817 860 950 1075 1634 1720 1900 2150 3268 3800 4085 4300 6536 8170 8600 8753 16340 17506 20425 32680 35012 40850 43765 70024 81700 87530 163400 166307 175060 218825 332614 350120 376379 437650 665228 752758 831535 875300 1330456 1505516 1663070 1750600 1881895 3011032 3326140 3763790 4157675 6652280 7151201 7527580 8315350 9409475 14302402 15055160 16630700 18818950 28604804 33261400 35756005 37637900 57209608 71512010 75275800 143024020 178780025 286048040 357560050 715120100 1430240200