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10001312 = 25535897
BaseRepresentation
bin100110001001…
…101110100000
3200211010012222
4212021232200
510030020222
6554210212
7151003226
oct46115640
920733188
1010001312
115711152
123423968
1320c2349
141484b16
15d28542
hex989ba0

10001312 has 24 divisors (see below), whose sum is σ = 20064996. Its totient is φ = 4905472.

The previous prime is 10001311. The next prime is 10001347. The reversal of 10001312 is 21310001.

It can be written as a sum of positive squares in 2 ways, for example, as 8737936 + 1263376 = 2956^2 + 1124^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10001312.

It is not an unprimeable number, because it can be changed into a prime (10001311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1253 + ... + 4644.

Almost surely, 210001312 is an apocalyptic number.

It is an amenable number.

10001312 is an abundant number, since it is smaller than the sum of its proper divisors (10063684).

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

10001312 is an equidigital number, since it uses as much as digits as its factorization.

10001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10001312 is about 3162.4850987791. The cubic root of 10001312 is about 215.4528906522.

Adding to 10001312 its reverse (21310001), we get a palindrome (31311313).

The spelling of 10001312 in words is "ten million, one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 5897 11794 23588 47176 94352 188704 312541 625082 1250164 2500328 5000656 10001312