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415125240 = 23353898893
BaseRepresentation
bin11000101111100…
…100111011111000
31001221010112202220
4120233210323320
51322233001430
6105105324040
713200335445
oct3057447370
91057115686
10415125240
111a3366812
12b7036620
1368008c4a
143d1c09cc
15266a0110
hex18be4ef8

415125240 has 64 divisors (see below), whose sum is σ = 1248717600. Its totient is φ = 110403072.

The previous prime is 415125223. The next prime is 415125241. The reversal of 415125240 is 42521514.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 415125240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415125241) 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 15 ways as a sum of consecutive naturals, for example, 42234 + ... + 51126.

Almost surely, 2415125240 is an apocalyptic number.

415125240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415125240 is an abundant number, since it is smaller than the sum of its proper divisors (833592360).

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

415125240 is a wasteful number, since it uses less digits than its factorization.

415125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9296 (or 9292 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 415125240 is about 20374.6224504897. The cubic root of 415125240 is about 745.9786187500.

Adding to 415125240 its reverse (42521514), we get a palindrome (457646754).

The spelling of 415125240 in words is "four hundred fifteen million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 389 778 1167 1556 1945 2334 3112 3890 4668 5835 7780 8893 9336 11670 15560 17786 23340 26679 35572 44465 46680 53358 71144 88930 106716 133395 177860 213432 266790 355720 533580 1067160 3459377 6918754 10378131 13837508 17296885 20756262 27675016 34593770 41512524 51890655 69187540 83025048 103781310 138375080 207562620 415125240