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1012704 = 253711137
BaseRepresentation
bin11110111001111100000
31220110011120
43313033200
5224401304
633412240
711415330
oct3671740
91813146
101012704
11631950
1240a080
13295c44
141c50c0
151500d9
hexf73e0

1012704 has 96 divisors (see below), whose sum is σ = 3338496. Its totient is φ = 261120.

The previous prime is 1012703. The next prime is 1012717. The reversal of 1012704 is 4072101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7324 + ... + 7460.

It is an arithmetic number, because the mean of its divisors is an integer number (34776).

21012704 is an apocalyptic number.

1012704 is a gapful number since it is divisible by the number (14) 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 1012704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669248).

1012704 is an abundant number, since it is smaller than the sum of its proper divisors (2325792).

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

1012704 is a wasteful number, since it uses less digits than its factorization.

1012704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1012704 is about 1006.3319531844. The cubic root of 1012704 is about 100.4216859766.

Adding to 1012704 its reverse (4072101), we get a palindrome (5084805).

The spelling of 1012704 in words is "one million, twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 137 154 168 176 224 231 264 274 308 336 352 411 462 528 548 616 672 822 924 959 1056 1096 1232 1507 1644 1848 1918 2192 2464 2877 3014 3288 3696 3836 4384 4521 5754 6028 6576 7392 7672 9042 10549 11508 12056 13152 15344 18084 21098 23016 24112 30688 31647 36168 42196 46032 48224 63294 72336 84392 92064 126588 144672 168784 253176 337568 506352 1012704