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103005440 = 28580473
BaseRepresentation
bin1100010001110…
…11110100000000
321011211012220022
412020323310000
5202332133230
614115433012
72360350256
oct610736400
9234735808
10103005440
115316456a
122a5b5768
1318456785
14d9745d6
15909a1e5
hex623bd00

103005440 has 36 divisors (see below), whose sum is σ = 246733284. Its totient is φ = 41201664.

The previous prime is 103005439. The next prime is 103005443. The reversal of 103005440 is 44500301.

It can be written as a sum of positive squares in 2 ways, for example, as 50239744 + 52765696 = 7088^2 + 7264^2 .

It is a super-2 number, since 2×1030054402 = 21220241339187200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103005443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38957 + ... + 41516.

Almost surely, 2103005440 is an apocalyptic number.

103005440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103005440 is an abundant number, since it is smaller than the sum of its proper divisors (143727844).

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

103005440 is an frugal number, since it uses more digits than its factorization.

103005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80494 (or 80480 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 103005440 is about 10149.1595711172. The cubic root of 103005440 is about 468.7630671320.

Adding to 103005440 its reverse (44500301), we get a palindrome (147505741).

The spelling of 103005440 in words is "one hundred three million, five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 80473 160946 321892 402365 643784 804730 1287568 1609460 2575136 3218920 5150272 6437840 10300544 12875680 20601088 25751360 51502720 103005440