Search a number
-
+
900928 = 2672011
BaseRepresentation
bin11011011111101000000
31200202211201
43123331000
5212312203
631150544
710441420
oct3337500
91622751
10900928
11565976
12375454
132570c2
14196480
1512be1d
hexdbf40

900928 has 28 divisors (see below), whose sum is σ = 2044192. Its totient is φ = 385920.

The previous prime is 900917. The next prime is 900929. The reversal of 900928 is 829009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×9009282 = 1623342522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 900896 and 900905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900929) by changing a digit.

900928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 558 + ... + 1453.

2900928 is an apocalyptic number.

It is an amenable number.

900928 is an abundant number, since it is smaller than the sum of its proper divisors (1143264).

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

900928 is a wasteful number, since it uses less digits than its factorization.

900928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 900928 is about 949.1722709814. The cubic root of 900928 is about 96.5821112893.

It can be divided in two parts, 90092 and 8, that added together give a triangular number (90100 = T424).

The spelling of 900928 in words is "nine hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2011 4022 8044 14077 16088 28154 32176 56308 64352 112616 128704 225232 450464 900928