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1003076140 = 22511113157257
BaseRepresentation
bin111011110010011…
…011101000101100
32120220110112210011
4323302123220230
54023241414030
6243311223004
733600002143
oct7362335054
92526415704
101003076140
11475234a50
1223bb17a64
1312ca763a1
149730c75a
155d0dcb2a
hex3bc9ba2c

1003076140 has 96 divisors (see below), whose sum is σ = 2342136384. Its totient is φ = 357826560.

The previous prime is 1003076071. The next prime is 1003076141. The reversal of 1003076140 is 416703001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1003076141) 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 31 ways as a sum of consecutive naturals, for example, 3902892 + ... + 3903148.

It is an arithmetic number, because the mean of its divisors is an integer number (24397254).

Almost surely, 21003076140 is an apocalyptic number.

1003076140 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 1003076140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171068192).

1003076140 is an abundant number, since it is smaller than the sum of its proper divisors (1339060244).

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

1003076140 is a wasteful number, since it uses less digits than its factorization.

1003076140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 1003076140 is about 31671.3772987535. The cubic root of 1003076140 is about 1001.0243303890.

Adding to 1003076140 its reverse (416703001), we get a palindrome (1419779141).

The spelling of 1003076140 in words is "one billion, three million, seventy-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 157 220 226 257 314 452 514 565 628 785 1028 1130 1243 1285 1570 1727 2260 2486 2570 2827 3140 3454 4972 5140 5654 6215 6908 8635 11308 12430 14135 17270 17741 24860 28270 29041 34540 35482 40349 56540 58082 70964 80698 88705 116164 145205 161396 177410 195151 201745 290410 319451 354820 390302 403490 443839 580820 638902 780604 806980 887678 975755 1277804 1597255 1775356 1951510 2219195 3194510 3903020 4438390 4559437 6389020 8876780 9118874 18237748 22797185 45594370 50153807 91188740 100307614 200615228 250769035 501538070 1003076140