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1282072 = 231117857
BaseRepresentation
bin100111001000000011000
32102010200011
410321000120
5312011242
643251304
713616551
oct4710030
92363604
101282072
117a6270
12519b34
1335b72c
14255328
151a4d17
hex139018

1282072 has 32 divisors (see below), whose sum is σ = 2779920. Its totient is φ = 547840.

The previous prime is 1282069. The next prime is 1282079. The reversal of 1282072 is 2702821.

It is a super-2 number, since 2×12820722 = 3287417226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282079) 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 7 ways as a sum of consecutive naturals, for example, 1068 + ... + 1924.

21282072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1282072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389960).

1282072 is an abundant number, since it is smaller than the sum of its proper divisors (1497848).

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

1282072 is a wasteful number, since it uses less digits than its factorization.

1282072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1282072 is about 1132.2861829061. The cubic root of 1282072 is about 108.6352592603.

Adding to 1282072 its reverse (2702821), we get a palindrome (3984893).

The spelling of 1282072 in words is "one million, two hundred eighty-two thousand, seventy-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 857 1496 1714 3428 6856 9427 14569 18854 29138 37708 58276 75416 116552 160259 320518 641036 1282072