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900126 = 23379211
BaseRepresentation
bin11011011110000011110
31200201202000
43123300132
5212301001
631143130
710436163
oct3336036
91621660
10900126
11565307
12374aa6
13256926
1419606a
1512ba86
hexdbc1e

900126 has 32 divisors (see below), whose sum is σ = 2035200. Its totient is φ = 294840.

The previous prime is 900121. The next prime is 900139. The reversal of 900126 is 621009.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 900099 and 900108.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 900126.

It is not an unprimeable number, because it can be changed into a prime (900121) by changing a digit.

900126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4161 + ... + 4371.

It is an arithmetic number, because the mean of its divisors is an integer number (63600).

2900126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017600).

900126 is an abundant number, since it is smaller than the sum of its proper divisors (1135074).

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

900126 is a wasteful number, since it uses less digits than its factorization.

900126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 900126 is about 948.7497035573. The cubic root of 900126 is about 96.5534438674.

The spelling of 900126 in words is "nine hundred thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 79 158 211 237 422 474 633 711 1266 1422 1899 2133 3798 4266 5697 11394 16669 33338 50007 100014 150021 300042 450063 900126