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2149506 = 232119417
BaseRepresentation
bin1000001100110010000010
311001012120100
420030302002
51022241011
6114023230
724161532
oct10146202
94035510
102149506
111238a57
12877b16
135a34c8
143dd4c2
152c6d56
hex20cc82

2149506 has 12 divisors (see below), whose sum is σ = 4657302. Its totient is φ = 716496.

The previous prime is 2149501. The next prime is 2149517. The reversal of 2149506 is 6059412.

It can be written as a sum of positive squares in only one way, i.e., 1418481 + 731025 = 1191^2 + 855^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2149506.

It is not an unprimeable number, because it can be changed into a prime (2149501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59691 + ... + 59726.

22149506 is an apocalyptic number.

2149506 is an abundant number, since it is smaller than the sum of its proper divisors (2507796).

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

2149506 is a wasteful number, since it uses less digits than its factorization.

2149506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119425 (or 119422 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2149506 is about 1466.1193675823. The cubic root of 2149506 is about 129.0564022333.

The spelling of 2149506 in words is "two million, one hundred forty-nine thousand, five hundred six".

Divisors: 1 2 3 6 9 18 119417 238834 358251 716502 1074753 2149506