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412142106 = 232311092693
BaseRepresentation
bin11000100100001…
…100101000011010
31001201111222200110
4120210030220122
51321002021411
6104521345150
713133102325
oct3044145032
91051458613
10412142106
111a1709512
12b60381b6
136750318c
143ca457bc
15262b12a6
hex1890ca1a

412142106 has 32 divisors (see below), whose sum is σ = 861217920. Its totient is φ = 131240384.

The previous prime is 412142011. The next prime is 412142119. The reversal of 412142106 is 601241214.

It is a happy number.

It is a super-2 number, since 2×4121421062 = 339722231076230472, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 151696 + ... + 154388.

It is an arithmetic number, because the mean of its divisors is an integer number (26913060).

Almost surely, 2412142106 is an apocalyptic number.

412142106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

412142106 is an abundant number, since it is smaller than the sum of its proper divisors (449075814).

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

412142106 is a wasteful number, since it uses less digits than its factorization.

412142106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 412142106 is about 20301.2833584481. The cubic root of 412142106 is about 744.1874274876.

The spelling of 412142106 in words is "four hundred twelve million, one hundred forty-two thousand, one hundred six".

Divisors: 1 2 3 6 23 46 69 138 1109 2218 2693 3327 5386 6654 8079 16158 25507 51014 61939 76521 123878 153042 185817 371634 2986537 5973074 8959611 17919222 68690351 137380702 206071053 412142106