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1014049 = 192532
BaseRepresentation
bin11110111100100100001
31220112000101
43313210201
5224422144
633422401
711422261
oct3674441
91815011
101014049
11632963
1240aa01
1329673a
141c57a1
151506d4
hexf7921

1014049 has 9 divisors (see below), whose sum is σ = 1090803. Its totient is φ = 942552.

The previous prime is 1014037. The next prime is 1014061. The reversal of 1014049 is 9404101.

Multipling 1014049 by its product of nonzero digits (144), we get a square (146023056 = 120842).

The square root of 1014049 is 1007.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1014037) and next prime (1014061).

It can be written as a sum of positive squares in only one way, i.e., 731025 + 283024 = 855^2 + 532^2 .

It is not a de Polignac number, because 1014049 - 27 = 1013921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

1014049 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1014029) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 19107 + ... + 19159.

21014049 is an apocalyptic number.

1014049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1014049 is the 1007-th square number.

1014049 is the 504-th centered octagonal number.

It is an amenable number.

1014049 is a deficient number, since it is larger than the sum of its proper divisors (76754).

1014049 is an frugal number, since it uses more digits than its factorization.

1014049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 1014049 is about 100.4661239092.

The spelling of 1014049 in words is "one million, fourteen thousand, forty-nine".

Divisors: 1 19 53 361 1007 2809 19133 53371 1014049