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96000900 = 22352973299
BaseRepresentation
bin1011011100011…
…01101110000100
320200122100110220
411232031232010
5144034012100
613305344340
72243665002
oct556155604
9220570426
1096000900
114a20a996
12281980b0
1316b73488
14ca6da72
158664aa0
hex5b8db84

96000900 has 72 divisors (see below), whose sum is σ = 280711200. Its totient is φ = 25328640.

The previous prime is 96000899. The next prime is 96000907. The reversal of 96000900 is 900069.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96000907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27451 + ... + 30749.

Almost surely, 296000900 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 96000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140355600).

96000900 is an abundant number, since it is smaller than the sum of its proper divisors (184710300).

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

96000900 is a wasteful number, since it uses less digits than its factorization.

96000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3406 counting only the distinct ones).

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

The square root of 96000900 is about 9798.0048989577. The cubic root of 96000900 is about 457.8871279097.

Adding to 96000900 its reverse (900069), we get a palindrome (96900969).

The spelling of 96000900 in words is "ninety-six million, nine hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2910 3299 4850 5820 6598 7275 9700 9897 13196 14550 16495 19794 29100 32990 39588 49485 65980 82475 98970 164950 197940 247425 320003 329900 494850 640006 960009 989700 1280012 1600015 1920018 3200030 3840036 4800045 6400060 8000075 9600090 16000150 19200180 24000225 32000300 48000450 96000900