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10020312 = 2332294799
BaseRepresentation
bin100110001110…
…010111011000
3200212002021200
4212032113120
510031122222
6554434200
7151112511
oct46162730
920762250
1010020312
115724455
123432960
1320caba3
14148ba08
15d2deac
hex98e5d8

10020312 has 48 divisors (see below), whose sum is σ = 28080000. Its totient is φ = 3224256.

The previous prime is 10020299. The next prime is 10020313. The reversal of 10020312 is 21302001.

It is a happy number.

10020312 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020294 and 10020303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312 + ... + 4487.

It is an arithmetic number, because the mean of its divisors is an integer number (585000).

Almost surely, 210020312 is an apocalyptic number.

10020312 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 10020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040000).

10020312 is an abundant number, since it is smaller than the sum of its proper divisors (18059688).

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

10020312 is a wasteful number, since it uses less digits than its factorization.

10020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10020312 is about 3165.4876401591. The cubic root of 10020312 is about 215.5892399425.

Adding to 10020312 its reverse (21302001), we get a palindrome (31322313).

The spelling of 10020312 in words is "ten million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 4799 9598 14397 19196 28794 38392 43191 57588 86382 115176 139171 172764 278342 345528 417513 556684 835026 1113368 1252539 1670052 2505078 3340104 5010156 10020312