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412506135 = 3353055601
BaseRepresentation
bin11000100101100…
…101100000010111
31001202012111001000
4120211211200113
51321100144020
6104533234343
713136146536
oct3045454027
91052174030
10412506135
111a1937a68
12b61929b3
13675cca92
143cadc31d
1526334090
hex18965817

412506135 has 16 divisors (see below), whose sum is σ = 733344480. Its totient is φ = 220003200.

The previous prime is 412506109. The next prime is 412506151. The reversal of 412506135 is 531605214.

412506135 is a `hidden beast` number, since 41 + 2 + 5 + 0 + 613 + 5 = 666.

It is not a de Polignac number, because 412506135 - 210 = 412505111 is a prime.

It is a super-2 number, since 2×4125061352 = 340322622825276450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 412506099 and 412506108.

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 15 ways as a sum of consecutive naturals, for example, 1527666 + ... + 1527935.

It is an arithmetic number, because the mean of its divisors is an integer number (45834030).

Almost surely, 2412506135 is an apocalyptic number.

412506135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

412506135 is a deficient number, since it is larger than the sum of its proper divisors (320838345).

412506135 is a wasteful number, since it uses less digits than its factorization.

412506135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055615 (or 3055609 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 412506135 is about 20310.2470442878. The cubic root of 412506135 is about 744.4064668918.

The spelling of 412506135 in words is "four hundred twelve million, five hundred six thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 3055601 9166803 15278005 27500409 45834015 82501227 137502045 412506135