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412015040 = 2651797193
BaseRepresentation
bin11000100011101…
…101100111000000
31001201021112101022
4120203231213000
51320433440130
6104514525012
713132033013
oct3043554700
91051245338
10412015040
111a1631aa8
12b5b96768
136748a3a8
143ca1137a
15262887e5
hex188ed9c0

412015040 has 56 divisors (see below), whose sum is σ = 986729040. Its totient is φ = 163862528.

The previous prime is 412015013. The next prime is 412015061. The reversal of 412015040 is 40510214.

It is a congruent number.

It is an unprimeable number.

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, 53684 + ... + 60876.

Almost surely, 2412015040 is an apocalyptic number.

412015040 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 412015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493364520).

412015040 is an abundant number, since it is smaller than the sum of its proper divisors (574714000).

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

412015040 is a wasteful number, since it uses less digits than its factorization.

412015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7389 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 412015040 is about 20298.1536106120. The cubic root of 412015040 is about 744.1109404072.

Adding to 412015040 its reverse (40510214), we get a palindrome (452525254).

The spelling of 412015040 in words is "four hundred twelve million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 179 320 358 716 895 1432 1790 2864 3580 5728 7160 7193 11456 14320 14386 28640 28772 35965 57280 57544 71930 115088 143860 230176 287720 460352 575440 1150880 1287547 2301760 2575094 5150188 6437735 10300376 12875470 20600752 25750940 41201504 51501880 82403008 103003760 206007520 412015040