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900396 = 22347397
BaseRepresentation
bin11011011110100101100
31200202010000
43123310230
5212303041
631144300
710440030
oct3336454
91622100
10900396
11565532
12375090
13256aa3
141961c0
1512bbb6
hexdbd2c

900396 has 60 divisors (see below), whose sum is σ = 2696848. Its totient is φ = 256608.

The previous prime is 900349. The next prime is 900397. The reversal of 900396 is 693009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (900397) by changing a digit.

900396 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 19 ways as a sum of consecutive naturals, for example, 2070 + ... + 2466.

2900396 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 900396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348424).

900396 is an abundant number, since it is smaller than the sum of its proper divisors (1796452).

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

900396 is a wasteful number, since it uses less digits than its factorization.

900396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 900396 is about 948.8919854230. The cubic root of 900396 is about 96.5630968952.

It can be divided in two parts, 900 and 396, that added together give a 4-th power (1296 = 64).

The spelling of 900396 in words is "nine hundred thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 397 567 756 794 1134 1191 1588 2268 2382 2779 3573 4764 5558 7146 8337 10719 11116 14292 16674 21438 25011 32157 33348 42876 50022 64314 75033 100044 128628 150066 225099 300132 450198 900396