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900096 = 2103293
BaseRepresentation
bin11011011110000000000
31200201200220
43123300000
5212300341
631143040
710436121
oct3336000
91621626
10900096
1156528a
12374a80
13256902
14196048
1512ba66
hexdbc00

900096 has 44 divisors (see below), whose sum is σ = 2407272. Its totient is φ = 299008.

The previous prime is 900091. The next prime is 900103. The reversal of 900096 is 690009.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900091) 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, 2926 + ... + 3218.

2900096 is an apocalyptic number.

900096 is a gapful number since it is divisible by the number (96) 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 900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203636).

900096 is an abundant number, since it is smaller than the sum of its proper divisors (1507176).

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

900096 is a wasteful number, since it uses less digits than its factorization.

900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 900096 is about 948.7338931439. The cubic root of 900096 is about 96.5523711897.

The spelling of 900096 in words is "nine hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 293 384 512 586 768 879 1024 1172 1536 1758 2344 3072 3516 4688 7032 9376 14064 18752 28128 37504 56256 75008 112512 150016 225024 300032 450048 900096