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106382946 = 23414389113
BaseRepresentation
bin1100101011101…
…00011001100010
321102011210222010
412111310121202
5204213223241
614320053350
72431145235
oct625643142
9242153863
10106382946
115506109a
122b764256
1319069bb7
14101b341c
159515d16
hex6574662

106382946 has 64 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 33116160.

The previous prime is 106382929. The next prime is 106382953. The reversal of 106382946 is 649283601.

It is a super-2 number, since 2×1063829462 = 22634662399277832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 31 ways as a sum of consecutive naturals, for example, 941386 + ... + 941498.

It is an arithmetic number, because the mean of its divisors is an integer number (3555090).

Almost surely, 2106382946 is an apocalyptic number.

106382946 is an abundant number, since it is smaller than the sum of its proper divisors (121142814).

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

106382946 is a wasteful number, since it uses less digits than its factorization.

106382946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 106382946 is about 10314.2108762619. The cubic root of 106382946 is about 473.8315821752.

The spelling of 106382946 in words is "one hundred six million, three hundred eighty-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 41 43 82 86 89 113 123 129 178 226 246 258 267 339 534 678 1763 3526 3649 3827 4633 4859 5289 7298 7654 9266 9718 10057 10578 10947 11481 13899 14577 20114 21894 22962 27798 29154 30171 60342 156907 199219 313814 398438 412337 432451 470721 597657 824674 864902 941442 1195314 1237011 1297353 2474022 2594706 17730491 35460982 53191473 106382946