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900036 = 2232231087
BaseRepresentation
bin11011011101111000100
31200201121200
43123233010
5212300121
631142500
710436004
oct3335704
91621550
10900036
11565235
12374a30
13256887
14196004
1512ba26
hexdbbc4

900036 has 36 divisors (see below), whose sum is σ = 2376192. Its totient is φ = 286704.

The previous prime is 900019. The next prime is 900037. The reversal of 900036 is 630009.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 899991 and 900018.

It is not an unprimeable number, because it can be changed into a prime (900037) by changing a digit.

900036 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 11 ways as a sum of consecutive naturals, for example, 285 + ... + 1371.

2900036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188096).

900036 is an abundant number, since it is smaller than the sum of its proper divisors (1476156).

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

900036 is a wasteful number, since it uses less digits than its factorization.

900036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 900036 is about 948.7022715267. The cubic root of 900036 is about 96.5502257626.

It can be divided in two parts, 90003 and 6, that added together give a palindrome (90009).

The spelling of 900036 in words is "nine hundred thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1087 2174 3261 4348 6522 9783 13044 19566 25001 39132 50002 75003 100004 150006 225009 300012 450018 900036