Search a number
-
+
900325900 = 225267831619
BaseRepresentation
bin110101101010011…
…110001000001100
32022202010021221201
4311222132020030
53320440412100
6225201035244
731211433565
oct6552361014
92282107851
10900325900
114222351a1
12211625b24
131146abb26
148780316c
155409336a
hex35a9e20c

900325900 has 72 divisors (see below), whose sum is σ = 2007996480. Its totient is φ = 350264640.

The previous prime is 900325897. The next prime is 900325903. The reversal of 900325900 is 9523009.

It is an interprime number because it is at equal distance from previous prime (900325897) and next prime (900325903).

It is not an unprimeable number, because it can be changed into a prime (900325903) 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, 555291 + ... + 556909.

It is an arithmetic number, because the mean of its divisors is an integer number (27888840).

Almost surely, 2900325900 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 900325900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003998240).

900325900 is an abundant number, since it is smaller than the sum of its proper divisors (1107670580).

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

900325900 is a wasteful number, since it uses less digits than its factorization.

900325900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 900325900 is about 30005.4311750390. The cubic root of 900325900 is about 965.6059086865.

Adding to 900325900 its reverse (9523009), we get a palindrome (909848909).

The spelling of 900325900 in words is "nine hundred million, three hundred twenty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 67 83 100 134 166 268 332 335 415 670 830 1340 1619 1660 1675 2075 3238 3350 4150 5561 6476 6700 8095 8300 11122 16190 22244 27805 32380 40475 55610 80950 108473 111220 134377 139025 161900 216946 268754 278050 433892 537508 542365 556100 671885 1084730 1343770 2169460 2687540 2711825 3359425 5423650 6718850 9003259 10847300 13437700 18006518 36013036 45016295 90032590 180065180 225081475 450162950 900325900