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106441506 = 2332418179
BaseRepresentation
bin1100101100000…
…10101100100010
321102021210022000
412112002230202
5204222112011
614321224430
72431511043
oct626025442
9242253260
10106441506
11550a1096
122b792116
131908a752
14101ca8ca
159528356
hex6582b22

106441506 has 32 divisors (see below), whose sum is σ = 237547200. Its totient is φ = 35328960.

The previous prime is 106441481. The next prime is 106441541. The reversal of 106441506 is 605144601.

106441506 is a `hidden beast` number, since 1 + 0 + 644 + 15 + 0 + 6 = 666.

It is a super-2 number, since 2×1064415062 = 22659588399096072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106441506.

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, 8925 + ... + 17103.

It is an arithmetic number, because the mean of its divisors is an integer number (7423350).

Almost surely, 2106441506 is an apocalyptic number.

106441506 is an abundant number, since it is smaller than the sum of its proper divisors (131105694).

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

106441506 is a wasteful number, since it uses less digits than its factorization.

106441506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8431 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106441506 is about 10317.0492874659. The cubic root of 106441506 is about 473.9185086632.

The spelling of 106441506 in words is "one hundred six million, four hundred forty-one thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 241 482 723 1446 2169 4338 6507 8179 13014 16358 24537 49074 73611 147222 220833 441666 1971139 3942278 5913417 11826834 17740251 35480502 53220753 106441506