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415530040 = 23510619791
BaseRepresentation
bin11000110001000…
…111110000111000
31001221220010001111
4120301013300320
51322333430130
6105122130104
713203642562
oct3061076070
91057803044
10415530040
111a3612962
12b71b0934
136811b283
143d288332
152673002a
hex18c47c38

415530040 has 32 divisors (see below), whose sum is σ = 935919360. Its totient is φ = 166038400.

The previous prime is 415530023. The next prime is 415530043. The reversal of 415530040 is 40035514.

It is a junction number, because it is equal to n+sod(n) for n = 415529993 and 415530020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415530043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37545 + ... + 47335.

It is an arithmetic number, because the mean of its divisors is an integer number (29247480).

Almost surely, 2415530040 is an apocalyptic number.

415530040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415530040 is an abundant number, since it is smaller than the sum of its proper divisors (520389320).

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

415530040 is a wasteful number, since it uses less digits than its factorization.

415530040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10863 (or 10859 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 415530040 is about 20384.5539563661. The cubic root of 415530040 is about 746.2210147109.

Adding to 415530040 its reverse (40035514), we get a palindrome (455565554).

The spelling of 415530040 in words is "four hundred fifteen million, five hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1061 2122 4244 5305 8488 9791 10610 19582 21220 39164 42440 48955 78328 97910 195820 391640 10388251 20776502 41553004 51941255 83106008 103882510 207765020 415530040