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1002072 = 23343971
BaseRepresentation
bin11110100101001011000
31212220120210
43310221120
5224031242
633251120
711342331
oct3645130
91786523
101002072
11624965
12403aa0
13291156
141c1288
1514bd9c
hexf4a58

1002072 has 32 divisors (see below), whose sum is σ = 2566080. Its totient is φ = 325920.

The previous prime is 1002061. The next prime is 1002073. The reversal of 1002072 is 2702001.

1002072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (80190).

21002072 is an apocalyptic number.

1002072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283040).

1002072 is an abundant number, since it is smaller than the sum of its proper divisors (1564008).

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

1002072 is a wasteful number, since it uses less digits than its factorization.

1002072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 1002072 is about 1001.0354639072. The cubic root of 1002072 is about 100.0690190195.

Adding to 1002072 its reverse (2702001), we get a palindrome (3704073).

The spelling of 1002072 in words is "one million, two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 971 1032 1942 2913 3884 5826 7768 11652 23304 41753 83506 125259 167012 250518 334024 501036 1002072