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10000704 = 263721063
BaseRepresentation
bin100110001001…
…100101000000
3200211002101110
4212021211000
510030010304
6554203320
7151001400
oct46114500
920732343
1010000704
11571074a
123423540
1320c1c9c
141484800
15d28289
hex989940

10000704 has 84 divisors (see below), whose sum is σ = 30809184. Its totient is φ = 2854656.

The previous prime is 10000691. The next prime is 10000721. The reversal of 10000704 is 40700001.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10000704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8877 + ... + 9939.

It is an arithmetic number, because the mean of its divisors is an integer number (366776).

Almost surely, 210000704 is an apocalyptic number.

10000704 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 10000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404592).

10000704 is an abundant number, since it is smaller than the sum of its proper divisors (20808480).

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

10000704 is a wasteful number, since it uses less digits than its factorization.

10000704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1075 counting only the distinct ones).

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

The square root of 10000704 is about 3162.3889703830. The cubic root of 10000704 is about 215.4485246246.

Adding to 10000704 its reverse (40700001), we get a palindrome (50700705).

The spelling of 10000704 in words is "ten million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1063 1176 1344 1568 2126 2352 3136 3189 4252 4704 6378 7441 8504 9408 12756 14882 17008 22323 25512 29764 34016 44646 51024 52087 59528 68032 89292 102048 104174 119056 156261 178584 204096 208348 238112 312522 357168 416696 476224 625044 714336 833392 1250088 1428672 1666784 2500176 3333568 5000352 10000704