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412030240 = 25513718797
BaseRepresentation
bin11000100011110…
…001010100100000
31001201022022020021
4120203301110200
51320434431430
6104515123224
713132125226
oct3043612440
91051268207
10412030240
111a1642466
12b5ba3514
136749429b
143ca16b16
152628d07a
hex188f1520

412030240 has 48 divisors (see below), whose sum is σ = 980578872. Its totient is φ = 163600384.

The previous prime is 412030183. The next prime is 412030277. The reversal of 412030240 is 42030214.

It can be written as a sum of positive squares in 4 ways, for example, as 388720656 + 23309584 = 19716^2 + 4828^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12522 + ... + 31318.

Almost surely, 2412030240 is an apocalyptic number.

412030240 is a gapful number since it is divisible by the number (40) 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 412030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490289436).

412030240 is an abundant number, since it is smaller than the sum of its proper divisors (568548632).

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

412030240 is a wasteful number, since it uses less digits than its factorization.

412030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18949 (or 18941 counting only the distinct ones).

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

The square root of 412030240 is about 20298.5280254505. The cubic root of 412030240 is about 744.1200908395.

Adding to 412030240 its reverse (42030214), we get a palindrome (454060454).

The spelling of 412030240 in words is "four hundred twelve million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 18797 21920 37594 75188 93985 150376 187970 300752 375940 601504 751880 1503760 2575189 3007520 5150378 10300756 12875945 20601512 25751890 41203024 51503780 82406048 103007560 206015120 412030240